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Finding the Fourth Proportional to 530.83, 731.82 and 523.54

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Solution

The fourth proportional to 530.83, 731.82 and 523.54 is: 721.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.83 : 731.82 = 523.54 : x
  2. Step 2: Convert to fraction form
    530.83/731.82 = 523.54/x
  3. Step 3: Cross multiply
    530.83x = 731.82 × 523.54
  4. Step 4: Simplify right side
    530.83x = 383,137.04
  5. Step 5: Solve for x
    x = 383,137.04/530.83
  6. Step 6: Final answer
    x = 721.77

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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.