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Finding the Fourth Proportional to 659.22, 909.20 and 410.07

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Solution

The fourth proportional to 659.22, 909.20 and 410.07 is: 565.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.22 : 909.20 = 410.07 : x
  2. Step 2: Convert to fraction form
    659.22/909.20 = 410.07/x
  3. Step 3: Cross multiply
    659.22x = 909.20 × 410.07
  4. Step 4: Simplify right side
    659.22x = 372,835.64
  5. Step 5: Solve for x
    x = 372,835.64/659.22
  6. Step 6: Final answer
    x = 565.57

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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.