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Finding the Fourth Proportional to 631.62, 946.33 and 493.07

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Solution

The fourth proportional to 631.62, 946.33 and 493.07 is: 738.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.62 : 946.33 = 493.07 : x
  2. Step 2: Convert to fraction form
    631.62/946.33 = 493.07/x
  3. Step 3: Cross multiply
    631.62x = 946.33 × 493.07
  4. Step 4: Simplify right side
    631.62x = 466,606.93
  5. Step 5: Solve for x
    x = 466,606.93/631.62
  6. Step 6: Final answer
    x = 738.75

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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.