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Finding the Fourth Proportional to 584.50, 876.75 and 242.50

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Solution

The fourth proportional to 584.50, 876.75 and 242.50 is: 363.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.50 : 876.75 = 242.50 : x
  2. Step 2: Convert to fraction form
    584.50/876.75 = 242.50/x
  3. Step 3: Cross multiply
    584.50x = 876.75 × 242.50
  4. Step 4: Simplify right side
    584.50x = 212,611.88
  5. Step 5: Solve for x
    x = 212,611.88/584.50
  6. Step 6: Final answer
    x = 363.75

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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.