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Finding the Fourth Proportional to 580.61, 870.02 and 337.25

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Solution

The fourth proportional to 580.61, 870.02 and 337.25 is: 505.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.61 : 870.02 = 337.25 : x
  2. Step 2: Convert to fraction form
    580.61/870.02 = 337.25/x
  3. Step 3: Cross multiply
    580.61x = 870.02 × 337.25
  4. Step 4: Simplify right side
    580.61x = 293,412.56
  5. Step 5: Solve for x
    x = 293,412.56/580.61
  6. Step 6: Final answer
    x = 505.35

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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.