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Finding the Fourth Proportional to 585.03, 876.88 and 194.94

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Solution

The fourth proportional to 585.03, 876.88 and 194.94 is: 292.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.03 : 876.88 = 194.94 : x
  2. Step 2: Convert to fraction form
    585.03/876.88 = 194.94/x
  3. Step 3: Cross multiply
    585.03x = 876.88 × 194.94
  4. Step 4: Simplify right side
    585.03x = 170,939.47
  5. Step 5: Solve for x
    x = 170,939.47/585.03
  6. Step 6: Final answer
    x = 292.19

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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.