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Finding the Fourth Proportional to 584.03, 876.11 and 193.93

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Solution

The fourth proportional to 584.03, 876.11 and 193.93 is: 290.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.03 : 876.11 = 193.93 : x
  2. Step 2: Convert to fraction form
    584.03/876.11 = 193.93/x
  3. Step 3: Cross multiply
    584.03x = 876.11 × 193.93
  4. Step 4: Simplify right side
    584.03x = 169,904.01
  5. Step 5: Solve for x
    x = 169,904.01/584.03
  6. Step 6: Final answer
    x = 290.92

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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.