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Finding the Fourth Proportional to 638.52, 956.43 and 364.47

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Solution

The fourth proportional to 638.52, 956.43 and 364.47 is: 545.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.52 : 956.43 = 364.47 : x
  2. Step 2: Convert to fraction form
    638.52/956.43 = 364.47/x
  3. Step 3: Cross multiply
    638.52x = 956.43 × 364.47
  4. Step 4: Simplify right side
    638.52x = 348,590.04
  5. Step 5: Solve for x
    x = 348,590.04/638.52
  6. Step 6: Final answer
    x = 545.93

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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.