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Finding the Fourth Proportional to 580.84, 871.52 and 288.63

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Solution

The fourth proportional to 580.84, 871.52 and 288.63 is: 433.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.84 : 871.52 = 288.63 : x
  2. Step 2: Convert to fraction form
    580.84/871.52 = 288.63/x
  3. Step 3: Cross multiply
    580.84x = 871.52 × 288.63
  4. Step 4: Simplify right side
    580.84x = 251,549.00
  5. Step 5: Solve for x
    x = 251,549.00/580.84
  6. Step 6: Final answer
    x = 433.08

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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.