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Finding the Fourth Proportional to 885.38, 1,326.81 and 397.58

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Solution

The fourth proportional to 885.38, 1,326.81 and 397.58 is: 595.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.38 : 1,326.81 = 397.58 : x
  2. Step 2: Convert to fraction form
    885.38/1,326.81 = 397.58/x
  3. Step 3: Cross multiply
    885.38x = 1,326.81 × 397.58
  4. Step 4: Simplify right side
    885.38x = 527,513.12
  5. Step 5: Solve for x
    x = 527,513.12/885.38
  6. Step 6: Final answer
    x = 595.80

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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.