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Finding the Fourth Proportional to 590.95, 886.33 and 371.59

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Solution

The fourth proportional to 590.95, 886.33 and 371.59 is: 557.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.95 : 886.33 = 371.59 : x
  2. Step 2: Convert to fraction form
    590.95/886.33 = 371.59/x
  3. Step 3: Cross multiply
    590.95x = 886.33 × 371.59
  4. Step 4: Simplify right side
    590.95x = 329,351.36
  5. Step 5: Solve for x
    x = 329,351.36/590.95
  6. Step 6: Final answer
    x = 557.33

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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.