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Finding the Fourth Proportional to 864.53, 1,297 and 287.41

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Solution

The fourth proportional to 864.53, 1,297 and 287.41 is: 431.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.53 : 1,297 = 287.41 : x
  2. Step 2: Convert to fraction form
    864.53/1,297 = 287.41/x
  3. Step 3: Cross multiply
    864.53x = 1,297 × 287.41
  4. Step 4: Simplify right side
    864.53x = 372,770.77
  5. Step 5: Solve for x
    x = 372,770.77/864.53
  6. Step 6: Final answer
    x = 431.18

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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.