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Finding the Fourth Proportional to 704.86, 972.68 and 456.32

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Solution

The fourth proportional to 704.86, 972.68 and 456.32 is: 629.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.86 : 972.68 = 456.32 : x
  2. Step 2: Convert to fraction form
    704.86/972.68 = 456.32/x
  3. Step 3: Cross multiply
    704.86x = 972.68 × 456.32
  4. Step 4: Simplify right side
    704.86x = 443,853.49
  5. Step 5: Solve for x
    x = 443,853.49/704.86
  6. Step 6: Final answer
    x = 629.71

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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.