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Finding the Fourth Proportional to 563.63, 845.44 and 409.66

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Solution

The fourth proportional to 563.63, 845.44 and 409.66 is: 614.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.63 : 845.44 = 409.66 : x
  2. Step 2: Convert to fraction form
    563.63/845.44 = 409.66/x
  3. Step 3: Cross multiply
    563.63x = 845.44 × 409.66
  4. Step 4: Simplify right side
    563.63x = 346,339.81
  5. Step 5: Solve for x
    x = 346,339.81/563.63
  6. Step 6: Final answer
    x = 614.49

Related Problems

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.