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Finding the Fourth Proportional to 562.46, 775.68 and 365.76

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Solution

The fourth proportional to 562.46, 775.68 and 365.76 is: 504.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.46 : 775.68 = 365.76 : x
  2. Step 2: Convert to fraction form
    562.46/775.68 = 365.76/x
  3. Step 3: Cross multiply
    562.46x = 775.68 × 365.76
  4. Step 4: Simplify right side
    562.46x = 283,712.72
  5. Step 5: Solve for x
    x = 283,712.72/562.46
  6. Step 6: Final answer
    x = 504.41

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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.