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Finding the Fourth Proportional to 530.15, 730.62 and 463.62

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Solution

The fourth proportional to 530.15, 730.62 and 463.62 is: 638.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.15 : 730.62 = 463.62 : x
  2. Step 2: Convert to fraction form
    530.15/730.62 = 463.62/x
  3. Step 3: Cross multiply
    530.15x = 730.62 × 463.62
  4. Step 4: Simplify right side
    530.15x = 338,732.78
  5. Step 5: Solve for x
    x = 338,732.78/530.15
  6. Step 6: Final answer
    x = 638.94

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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.