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Finding the Fourth Proportional to 584.82, 875.88 and 411.66

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Solution

The fourth proportional to 584.82, 875.88 and 411.66 is: 616.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.82 : 875.88 = 411.66 : x
  2. Step 2: Convert to fraction form
    584.82/875.88 = 411.66/x
  3. Step 3: Cross multiply
    584.82x = 875.88 × 411.66
  4. Step 4: Simplify right side
    584.82x = 360,564.76
  5. Step 5: Solve for x
    x = 360,564.76/584.82
  6. Step 6: Final answer
    x = 616.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.