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Finding the Fourth Proportional to 562.70, 776.66 and 365.87

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Solution

The fourth proportional to 562.70, 776.66 and 365.87 is: 504.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.70 : 776.66 = 365.87 : x
  2. Step 2: Convert to fraction form
    562.70/776.66 = 365.87/x
  3. Step 3: Cross multiply
    562.70x = 776.66 × 365.87
  4. Step 4: Simplify right side
    562.70x = 284,156.71
  5. Step 5: Solve for x
    x = 284,156.71/562.70
  6. Step 6: Final answer
    x = 504.99

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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.