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Finding the Fourth Proportional to 659.66, 909.86 and 411.12

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Solution

The fourth proportional to 659.66, 909.86 and 411.12 is: 567.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.66 : 909.86 = 411.12 : x
  2. Step 2: Convert to fraction form
    659.66/909.86 = 411.12/x
  3. Step 3: Cross multiply
    659.66x = 909.86 × 411.12
  4. Step 4: Simplify right side
    659.66x = 374,059.59
  5. Step 5: Solve for x
    x = 374,059.59/659.66
  6. Step 6: Final answer
    x = 567.05

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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.