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Finding the Fourth Proportional to 530.88, 733.17 and 365.52

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Solution

The fourth proportional to 530.88, 733.17 and 365.52 is: 504.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.88 : 733.17 = 365.52 : x
  2. Step 2: Convert to fraction form
    530.88/733.17 = 365.52/x
  3. Step 3: Cross multiply
    530.88x = 733.17 × 365.52
  4. Step 4: Simplify right side
    530.88x = 267,988.30
  5. Step 5: Solve for x
    x = 267,988.30/530.88
  6. Step 6: Final answer
    x = 504.80

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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.