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Finding the Fourth Proportional to 580.98, 870.18 and 288.06

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Solution

The fourth proportional to 580.98, 870.18 and 288.06 is: 431.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.98 : 870.18 = 288.06 : x
  2. Step 2: Convert to fraction form
    580.98/870.18 = 288.06/x
  3. Step 3: Cross multiply
    580.98x = 870.18 × 288.06
  4. Step 4: Simplify right side
    580.98x = 250,664.05
  5. Step 5: Solve for x
    x = 250,664.05/580.98
  6. Step 6: Final answer
    x = 431.45

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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.