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Finding the Fourth Proportional to 581.46, 801.59 and 415.61

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Solution

The fourth proportional to 581.46, 801.59 and 415.61 is: 572.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.46 : 801.59 = 415.61 : x
  2. Step 2: Convert to fraction form
    581.46/801.59 = 415.61/x
  3. Step 3: Cross multiply
    581.46x = 801.59 × 415.61
  4. Step 4: Simplify right side
    581.46x = 333,148.75
  5. Step 5: Solve for x
    x = 333,148.75/581.46
  6. Step 6: Final answer
    x = 572.95

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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.