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Finding the Fourth Proportional to 584.53, 876.86 and 199.81

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Solution

The fourth proportional to 584.53, 876.86 and 199.81 is: 299.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.53 : 876.86 = 199.81 : x
  2. Step 2: Convert to fraction form
    584.53/876.86 = 199.81/x
  3. Step 3: Cross multiply
    584.53x = 876.86 × 199.81
  4. Step 4: Simplify right side
    584.53x = 175,204.40
  5. Step 5: Solve for x
    x = 175,204.40/584.53
  6. Step 6: Final answer
    x = 299.74

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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.