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Finding the Fourth Proportional to 617.70, 925.52 and 434.76

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Solution

The fourth proportional to 617.70, 925.52 and 434.76 is: 651.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.70 : 925.52 = 434.76 : x
  2. Step 2: Convert to fraction form
    617.70/925.52 = 434.76/x
  3. Step 3: Cross multiply
    617.70x = 925.52 × 434.76
  4. Step 4: Simplify right side
    617.70x = 402,379.22
  5. Step 5: Solve for x
    x = 402,379.22/617.70
  6. Step 6: Final answer
    x = 651.42

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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.