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Finding the Fourth Proportional to 659.57, 909.70 and 410.90

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Solution

The fourth proportional to 659.57, 909.70 and 410.90 is: 566.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.57 : 909.70 = 410.90 : x
  2. Step 2: Convert to fraction form
    659.57/909.70 = 410.90/x
  3. Step 3: Cross multiply
    659.57x = 909.70 × 410.90
  4. Step 4: Simplify right side
    659.57x = 373,790.15
  5. Step 5: Solve for x
    x = 373,790.15/659.57
  6. Step 6: Final answer
    x = 566.72

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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.