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Finding the Fourth Proportional to 527.32, 726.88 and 361.25

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Solution

The fourth proportional to 527.32, 726.88 and 361.25 is: 497.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.32 : 726.88 = 361.25 : x
  2. Step 2: Convert to fraction form
    527.32/726.88 = 361.25/x
  3. Step 3: Cross multiply
    527.32x = 726.88 × 361.25
  4. Step 4: Simplify right side
    527.32x = 262,582.91
  5. Step 5: Solve for x
    x = 262,582.91/527.32
  6. Step 6: Final answer
    x = 497.96

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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.