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Finding the Fourth Proportional to 584.34, 876.33 and 199.50

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Solution

The fourth proportional to 584.34, 876.33 and 199.50 is: 299.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.34 : 876.33 = 199.50 : x
  2. Step 2: Convert to fraction form
    584.34/876.33 = 199.50/x
  3. Step 3: Cross multiply
    584.34x = 876.33 × 199.50
  4. Step 4: Simplify right side
    584.34x = 174,827.84
  5. Step 5: Solve for x
    x = 174,827.84/584.34
  6. Step 6: Final answer
    x = 299.19

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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.