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Finding the Fourth Proportional to 552, 761.75 and 315.96

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Solution

The fourth proportional to 552, 761.75 and 315.96 is: 436.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    552 : 761.75 = 315.96 : x
  2. Step 2: Convert to fraction form
    552/761.75 = 315.96/x
  3. Step 3: Cross multiply
    552x = 761.75 × 315.96
  4. Step 4: Simplify right side
    552x = 240,682.53
  5. Step 5: Solve for x
    x = 240,682.53/552
  6. Step 6: Final answer
    x = 436.02

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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.