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Finding the Fourth Proportional to 592.16, 817.60 and 371.20

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Solution

The fourth proportional to 592.16, 817.60 and 371.20 is: 512.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.16 : 817.60 = 371.20 : x
  2. Step 2: Convert to fraction form
    592.16/817.60 = 371.20/x
  3. Step 3: Cross multiply
    592.16x = 817.60 × 371.20
  4. Step 4: Simplify right side
    592.16x = 303,493.12
  5. Step 5: Solve for x
    x = 303,493.12/592.16
  6. Step 6: Final answer
    x = 512.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.