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Finding the Fourth Proportional to 659.29, 909.43 and 410.06

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Solution

The fourth proportional to 659.29, 909.43 and 410.06 is: 565.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.29 : 909.43 = 410.06 : x
  2. Step 2: Convert to fraction form
    659.29/909.43 = 410.06/x
  3. Step 3: Cross multiply
    659.29x = 909.43 × 410.06
  4. Step 4: Simplify right side
    659.29x = 372,922.11
  5. Step 5: Solve for x
    x = 372,922.11/659.29
  6. Step 6: Final answer
    x = 565.64

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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.