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Finding the Fourth Proportional to 614.78, 846.75 and 531.89

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Solution

The fourth proportional to 614.78, 846.75 and 531.89 is: 732.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.78 : 846.75 = 531.89 : x
  2. Step 2: Convert to fraction form
    614.78/846.75 = 531.89/x
  3. Step 3: Cross multiply
    614.78x = 846.75 × 531.89
  4. Step 4: Simplify right side
    614.78x = 450,377.86
  5. Step 5: Solve for x
    x = 450,377.86/614.78
  6. Step 6: Final answer
    x = 732.58

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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.