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Finding the Fourth Proportional to 592.45, 888.67 and 284.14

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Solution

The fourth proportional to 592.45, 888.67 and 284.14 is: 426.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.45 : 888.67 = 284.14 : x
  2. Step 2: Convert to fraction form
    592.45/888.67 = 284.14/x
  3. Step 3: Cross multiply
    592.45x = 888.67 × 284.14
  4. Step 4: Simplify right side
    592.45x = 252,506.69
  5. Step 5: Solve for x
    x = 252,506.69/592.45
  6. Step 6: Final answer
    x = 426.21

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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.