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Finding the Fourth Proportional to 659.48, 909.85 and 423.41

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Solution

The fourth proportional to 659.48, 909.85 and 423.41 is: 584.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.48 : 909.85 = 423.41 : x
  2. Step 2: Convert to fraction form
    659.48/909.85 = 423.41/x
  3. Step 3: Cross multiply
    659.48x = 909.85 × 423.41
  4. Step 4: Simplify right side
    659.48x = 385,239.59
  5. Step 5: Solve for x
    x = 385,239.59/659.48
  6. Step 6: Final answer
    x = 584.16

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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.