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Finding the Fourth Proportional to 397.29, 595.91 and 177.83

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Solution

The fourth proportional to 397.29, 595.91 and 177.83 is: 266.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.29 : 595.91 = 177.83 : x
  2. Step 2: Convert to fraction form
    397.29/595.91 = 177.83/x
  3. Step 3: Cross multiply
    397.29x = 595.91 × 177.83
  4. Step 4: Simplify right side
    397.29x = 105,966.81
  5. Step 5: Solve for x
    x = 105,966.81/397.29
  6. Step 6: Final answer
    x = 266.72

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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.