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Finding the Fourth Proportional to 659.16, 909.35 and 434.80

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Solution

The fourth proportional to 659.16, 909.35 and 434.80 is: 599.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.16 : 909.35 = 434.80 : x
  2. Step 2: Convert to fraction form
    659.16/909.35 = 434.80/x
  3. Step 3: Cross multiply
    659.16x = 909.35 × 434.80
  4. Step 4: Simplify right side
    659.16x = 395,385.38
  5. Step 5: Solve for x
    x = 395,385.38/659.16
  6. Step 6: Final answer
    x = 599.83

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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.