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Finding the Fourth Proportional to 659.30, 908.84 and 473.18

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Solution

The fourth proportional to 659.30, 908.84 and 473.18 is: 652.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.30 : 908.84 = 473.18 : x
  2. Step 2: Convert to fraction form
    659.30/908.84 = 473.18/x
  3. Step 3: Cross multiply
    659.30x = 908.84 × 473.18
  4. Step 4: Simplify right side
    659.30x = 430,042.55
  5. Step 5: Solve for x
    x = 430,042.55/659.30
  6. Step 6: Final answer
    x = 652.27

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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.