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Finding the Fourth Proportional to 530.52, 736.53 and 514.68

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Solution

The fourth proportional to 530.52, 736.53 and 514.68 is: 714.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.52 : 736.53 = 514.68 : x
  2. Step 2: Convert to fraction form
    530.52/736.53 = 514.68/x
  3. Step 3: Cross multiply
    530.52x = 736.53 × 514.68
  4. Step 4: Simplify right side
    530.52x = 379,077.26
  5. Step 5: Solve for x
    x = 379,077.26/530.52
  6. Step 6: Final answer
    x = 714.54

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.