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Finding the Fourth Proportional to 581.76, 870.78 and 407.61

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Solution

The fourth proportional to 581.76, 870.78 and 407.61 is: 610.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.76 : 870.78 = 407.61 : x
  2. Step 2: Convert to fraction form
    581.76/870.78 = 407.61/x
  3. Step 3: Cross multiply
    581.76x = 870.78 × 407.61
  4. Step 4: Simplify right side
    581.76x = 354,938.64
  5. Step 5: Solve for x
    x = 354,938.64/581.76
  6. Step 6: Final answer
    x = 610.11

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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.