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Finding the Fourth Proportional to 646.87, 970.71 and 415.91

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Solution

The fourth proportional to 646.87, 970.71 and 415.91 is: 624.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.87 : 970.71 = 415.91 : x
  2. Step 2: Convert to fraction form
    646.87/970.71 = 415.91/x
  3. Step 3: Cross multiply
    646.87x = 970.71 × 415.91
  4. Step 4: Simplify right side
    646.87x = 403,727.30
  5. Step 5: Solve for x
    x = 403,727.30/646.87
  6. Step 6: Final answer
    x = 624.12

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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.