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Finding the Fourth Proportional to 659.35, 909.04 and 410.24

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Solution

The fourth proportional to 659.35, 909.04 and 410.24 is: 565.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.35 : 909.04 = 410.24 : x
  2. Step 2: Convert to fraction form
    659.35/909.04 = 410.24/x
  3. Step 3: Cross multiply
    659.35x = 909.04 × 410.24
  4. Step 4: Simplify right side
    659.35x = 372,919.00
  5. Step 5: Solve for x
    x = 372,919.00/659.35
  6. Step 6: Final answer
    x = 565.59

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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.