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Finding the Fourth Proportional to 580.39, 870.55 and 271.81

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Solution

The fourth proportional to 580.39, 870.55 and 271.81 is: 407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.39 : 870.55 = 271.81 : x
  2. Step 2: Convert to fraction form
    580.39/870.55 = 271.81/x
  3. Step 3: Cross multiply
    580.39x = 870.55 × 271.81
  4. Step 4: Simplify right side
    580.39x = 236,624.20
  5. Step 5: Solve for x
    x = 236,624.20/580.39
  6. Step 6: Final answer
    x = 407.70

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