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Finding the Fourth Proportional to 585.30, 877.71 and 219.89

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Solution

The fourth proportional to 585.30, 877.71 and 219.89 is: 329.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.30 : 877.71 = 219.89 : x
  2. Step 2: Convert to fraction form
    585.30/877.71 = 219.89/x
  3. Step 3: Cross multiply
    585.30x = 877.71 × 219.89
  4. Step 4: Simplify right side
    585.30x = 193,001.85
  5. Step 5: Solve for x
    x = 193,001.85/585.30
  6. Step 6: Final answer
    x = 329.75

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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.