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Finding the Fourth Proportional to 659.52, 910.58 and 411.21

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Solution

The fourth proportional to 659.52, 910.58 and 411.21 is: 567.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.52 : 910.58 = 411.21 : x
  2. Step 2: Convert to fraction form
    659.52/910.58 = 411.21/x
  3. Step 3: Cross multiply
    659.52x = 910.58 × 411.21
  4. Step 4: Simplify right side
    659.52x = 374,437.55
  5. Step 5: Solve for x
    x = 374,437.55/659.52
  6. Step 6: Final answer
    x = 567.74

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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.