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Finding the Fourth Proportional to 649.15, 972.84 and 417.91

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Solution

The fourth proportional to 649.15, 972.84 and 417.91 is: 626.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.15 : 972.84 = 417.91 : x
  2. Step 2: Convert to fraction form
    649.15/972.84 = 417.91/x
  3. Step 3: Cross multiply
    649.15x = 972.84 × 417.91
  4. Step 4: Simplify right side
    649.15x = 406,559.56
  5. Step 5: Solve for x
    x = 406,559.56/649.15
  6. Step 6: Final answer
    x = 626.30

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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.