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Finding the Fourth Proportional to 563.04, 776.54 and 405.70

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Solution

The fourth proportional to 563.04, 776.54 and 405.70 is: 559.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.04 : 776.54 = 405.70 : x
  2. Step 2: Convert to fraction form
    563.04/776.54 = 405.70/x
  3. Step 3: Cross multiply
    563.04x = 776.54 × 405.70
  4. Step 4: Simplify right side
    563.04x = 315,041.35
  5. Step 5: Solve for x
    x = 315,041.35/563.04
  6. Step 6: Final answer
    x = 559.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.