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Finding the Fourth Proportional to 1,552, 2,327.82 and 397.76

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Solution

The fourth proportional to 1,552, 2,327.82 and 397.76 is: 596.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552 : 2,327.82 = 397.76 : x
  2. Step 2: Convert to fraction form
    1,552/2,327.82 = 397.76/x
  3. Step 3: Cross multiply
    1,552x = 2,327.82 × 397.76
  4. Step 4: Simplify right side
    1,552x = 925,913.68
  5. Step 5: Solve for x
    x = 925,913.68/1,552
  6. Step 6: Final answer
    x = 596.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.