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Finding the Fourth Proportional to 562.92, 776.16 and 366.36

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Solution

The fourth proportional to 562.92, 776.16 and 366.36 is: 505.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.92 : 776.16 = 366.36 : x
  2. Step 2: Convert to fraction form
    562.92/776.16 = 366.36/x
  3. Step 3: Cross multiply
    562.92x = 776.16 × 366.36
  4. Step 4: Simplify right side
    562.92x = 284,353.98
  5. Step 5: Solve for x
    x = 284,353.98/562.92
  6. Step 6: Final answer
    x = 505.14

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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.