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Finding the Fourth Proportional to 659.26, 909.78 and 393.91

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Solution

The fourth proportional to 659.26, 909.78 and 393.91 is: 543.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.26 : 909.78 = 393.91 : x
  2. Step 2: Convert to fraction form
    659.26/909.78 = 393.91/x
  3. Step 3: Cross multiply
    659.26x = 909.78 × 393.91
  4. Step 4: Simplify right side
    659.26x = 358,369.90
  5. Step 5: Solve for x
    x = 358,369.90/659.26
  6. Step 6: Final answer
    x = 543.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.