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Finding the Fourth Proportional to 456.78, 631.14 and 362.52

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Solution

The fourth proportional to 456.78, 631.14 and 362.52 is: 500.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.78 : 631.14 = 362.52 : x
  2. Step 2: Convert to fraction form
    456.78/631.14 = 362.52/x
  3. Step 3: Cross multiply
    456.78x = 631.14 × 362.52
  4. Step 4: Simplify right side
    456.78x = 228,800.87
  5. Step 5: Solve for x
    x = 228,800.87/456.78
  6. Step 6: Final answer
    x = 500.90

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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.