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Finding the Fourth Proportional to 580.17, 870.84 and 337.17

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Solution

The fourth proportional to 580.17, 870.84 and 337.17 is: 506.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.17 : 870.84 = 337.17 : x
  2. Step 2: Convert to fraction form
    580.17/870.84 = 337.17/x
  3. Step 3: Cross multiply
    580.17x = 870.84 × 337.17
  4. Step 4: Simplify right side
    580.17x = 293,621.12
  5. Step 5: Solve for x
    x = 293,621.12/580.17
  6. Step 6: Final answer
    x = 506.09

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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.