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Finding the Fourth Proportional to 563.47, 846.14 and 348.41

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Solution

The fourth proportional to 563.47, 846.14 and 348.41 is: 523.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.47 : 846.14 = 348.41 : x
  2. Step 2: Convert to fraction form
    563.47/846.14 = 348.41/x
  3. Step 3: Cross multiply
    563.47x = 846.14 × 348.41
  4. Step 4: Simplify right side
    563.47x = 294,803.64
  5. Step 5: Solve for x
    x = 294,803.64/563.47
  6. Step 6: Final answer
    x = 523.20

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Double scale
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Similar ratio
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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.