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Finding the Fourth Proportional to 649.08, 974.40 and 466

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Solution

The fourth proportional to 649.08, 974.40 and 466 is: 699.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.08 : 974.40 = 466 : x
  2. Step 2: Convert to fraction form
    649.08/974.40 = 466/x
  3. Step 3: Cross multiply
    649.08x = 974.40 × 466
  4. Step 4: Simplify right side
    649.08x = 454,070.40
  5. Step 5: Solve for x
    x = 454,070.40/649.08
  6. Step 6: Final answer
    x = 699.56

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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.