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Finding the Fourth Proportional to 580.66, 870.81 and 362.62

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Solution

The fourth proportional to 580.66, 870.81 and 362.62 is: 543.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.66 : 870.81 = 362.62 : x
  2. Step 2: Convert to fraction form
    580.66/870.81 = 362.62/x
  3. Step 3: Cross multiply
    580.66x = 870.81 × 362.62
  4. Step 4: Simplify right side
    580.66x = 315,770.95
  5. Step 5: Solve for x
    x = 315,770.95/580.66
  6. Step 6: Final answer
    x = 543.82

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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.