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Finding the Fourth Proportional to 659.18, 909.27 and 410.31

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Solution

The fourth proportional to 659.18, 909.27 and 410.31 is: 565.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.18 : 909.27 = 410.31 : x
  2. Step 2: Convert to fraction form
    659.18/909.27 = 410.31/x
  3. Step 3: Cross multiply
    659.18x = 909.27 × 410.31
  4. Step 4: Simplify right side
    659.18x = 373,082.57
  5. Step 5: Solve for x
    x = 373,082.57/659.18
  6. Step 6: Final answer
    x = 565.98

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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.