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Finding the Fourth Proportional to 580.74, 870.72 and 385.74

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Solution

The fourth proportional to 580.74, 870.72 and 385.74 is: 578.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.74 : 870.72 = 385.74 : x
  2. Step 2: Convert to fraction form
    580.74/870.72 = 385.74/x
  3. Step 3: Cross multiply
    580.74x = 870.72 × 385.74
  4. Step 4: Simplify right side
    580.74x = 335,871.53
  5. Step 5: Solve for x
    x = 335,871.53/580.74
  6. Step 6: Final answer
    x = 578.35

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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.