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Finding the Fourth Proportional to 584.74, 882.25 and 579.88

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Solution

The fourth proportional to 584.74, 882.25 and 579.88 is: 874.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.74 : 882.25 = 579.88 : x
  2. Step 2: Convert to fraction form
    584.74/882.25 = 579.88/x
  3. Step 3: Cross multiply
    584.74x = 882.25 × 579.88
  4. Step 4: Simplify right side
    584.74x = 511,599.13
  5. Step 5: Solve for x
    x = 511,599.13/584.74
  6. Step 6: Final answer
    x = 874.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.