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Finding the Fourth Proportional to 562.20, 775.64 and 365.64

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Solution

The fourth proportional to 562.20, 775.64 and 365.64 is: 504.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.20 : 775.64 = 365.64 : x
  2. Step 2: Convert to fraction form
    562.20/775.64 = 365.64/x
  3. Step 3: Cross multiply
    562.20x = 775.64 × 365.64
  4. Step 4: Simplify right side
    562.20x = 283,605.01
  5. Step 5: Solve for x
    x = 283,605.01/562.20
  6. Step 6: Final answer
    x = 504.46

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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.