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Finding the Fourth Proportional to 506.47, 757.64 and 360.21

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Solution

The fourth proportional to 506.47, 757.64 and 360.21 is: 538.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.47 : 757.64 = 360.21 : x
  2. Step 2: Convert to fraction form
    506.47/757.64 = 360.21/x
  3. Step 3: Cross multiply
    506.47x = 757.64 × 360.21
  4. Step 4: Simplify right side
    506.47x = 272,909.50
  5. Step 5: Solve for x
    x = 272,909.50/506.47
  6. Step 6: Final answer
    x = 538.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.