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Finding the Fourth Proportional to 552.06, 761.67 and 397.02

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Solution

The fourth proportional to 552.06, 761.67 and 397.02 is: 547.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.06 : 761.67 = 397.02 : x
  2. Step 2: Convert to fraction form
    552.06/761.67 = 397.02/x
  3. Step 3: Cross multiply
    552.06x = 761.67 × 397.02
  4. Step 4: Simplify right side
    552.06x = 302,398.22
  5. Step 5: Solve for x
    x = 302,398.22/552.06
  6. Step 6: Final answer
    x = 547.76

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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.