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Finding the Fourth Proportional to 584.06, 876.48 and 242.06

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Solution

The fourth proportional to 584.06, 876.48 and 242.06 is: 363.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.06 : 876.48 = 242.06 : x
  2. Step 2: Convert to fraction form
    584.06/876.48 = 242.06/x
  3. Step 3: Cross multiply
    584.06x = 876.48 × 242.06
  4. Step 4: Simplify right side
    584.06x = 212,160.75
  5. Step 5: Solve for x
    x = 212,160.75/584.06
  6. Step 6: Final answer
    x = 363.25

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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.