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Finding the Fourth Proportional to 596.60, 895.08 and 288.46

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Solution

The fourth proportional to 596.60, 895.08 and 288.46 is: 432.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.60 : 895.08 = 288.46 : x
  2. Step 2: Convert to fraction form
    596.60/895.08 = 288.46/x
  3. Step 3: Cross multiply
    596.60x = 895.08 × 288.46
  4. Step 4: Simplify right side
    596.60x = 258,194.78
  5. Step 5: Solve for x
    x = 258,194.78/596.60
  6. Step 6: Final answer
    x = 432.78

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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.