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Finding the Fourth Proportional to 552.16, 762.00 and 316.14

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Solution

The fourth proportional to 552.16, 762.00 and 316.14 is: 436.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.16 : 762.00 = 316.14 : x
  2. Step 2: Convert to fraction form
    552.16/762.00 = 316.14/x
  3. Step 3: Cross multiply
    552.16x = 762.00 × 316.14
  4. Step 4: Simplify right side
    552.16x = 240,897.10
  5. Step 5: Solve for x
    x = 240,897.10/552.16
  6. Step 6: Final answer
    x = 436.29

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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.