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Finding the Fourth Proportional to 471.01, 649.61 and 468.58

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Solution

The fourth proportional to 471.01, 649.61 and 468.58 is: 646.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.01 : 649.61 = 468.58 : x
  2. Step 2: Convert to fraction form
    471.01/649.61 = 468.58/x
  3. Step 3: Cross multiply
    471.01x = 649.61 × 468.58
  4. Step 4: Simplify right side
    471.01x = 304,391.91
  5. Step 5: Solve for x
    x = 304,391.91/471.01
  6. Step 6: Final answer
    x = 646.25

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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.