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Finding the Fourth Proportional to 553.66, 763.38 and 406.24

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Solution

The fourth proportional to 553.66, 763.38 and 406.24 is: 560.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.66 : 763.38 = 406.24 : x
  2. Step 2: Convert to fraction form
    553.66/763.38 = 406.24/x
  3. Step 3: Cross multiply
    553.66x = 763.38 × 406.24
  4. Step 4: Simplify right side
    553.66x = 310,113.58
  5. Step 5: Solve for x
    x = 310,113.58/553.66
  6. Step 6: Final answer
    x = 560.12

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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.