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Finding the Fourth Proportional to 659.12, 909.29 and 491.45

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Solution

The fourth proportional to 659.12, 909.29 and 491.45 is: 677.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.12 : 909.29 = 491.45 : x
  2. Step 2: Convert to fraction form
    659.12/909.29 = 491.45/x
  3. Step 3: Cross multiply
    659.12x = 909.29 × 491.45
  4. Step 4: Simplify right side
    659.12x = 446,863.57
  5. Step 5: Solve for x
    x = 446,863.57/659.12
  6. Step 6: Final answer
    x = 677.98

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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.