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Finding the Fourth Proportional to 592.16, 887.68 and 207.12

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Solution

The fourth proportional to 592.16, 887.68 and 207.12 is: 310.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.16 : 887.68 = 207.12 : x
  2. Step 2: Convert to fraction form
    592.16/887.68 = 207.12/x
  3. Step 3: Cross multiply
    592.16x = 887.68 × 207.12
  4. Step 4: Simplify right side
    592.16x = 183,856.28
  5. Step 5: Solve for x
    x = 183,856.28/592.16
  6. Step 6: Final answer
    x = 310.48

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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.