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Finding the Fourth Proportional to 631.78, 946.64 and 500.56

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Solution

The fourth proportional to 631.78, 946.64 and 500.56 is: 750.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.78 : 946.64 = 500.56 : x
  2. Step 2: Convert to fraction form
    631.78/946.64 = 500.56/x
  3. Step 3: Cross multiply
    631.78x = 946.64 × 500.56
  4. Step 4: Simplify right side
    631.78x = 473,850.12
  5. Step 5: Solve for x
    x = 473,850.12/631.78
  6. Step 6: Final answer
    x = 750.02

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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.