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Finding the Fourth Proportional to 552.14, 761.91 and 316.16

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Solution

The fourth proportional to 552.14, 761.91 and 316.16 is: 436.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.14 : 761.91 = 316.16 : x
  2. Step 2: Convert to fraction form
    552.14/761.91 = 316.16/x
  3. Step 3: Cross multiply
    552.14x = 761.91 × 316.16
  4. Step 4: Simplify right side
    552.14x = 240,885.47
  5. Step 5: Solve for x
    x = 240,885.47/552.14
  6. Step 6: Final answer
    x = 436.28

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Why These Related Problems?

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