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Finding the Fourth Proportional to 584.16, 876.32 and 199.36

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Solution

The fourth proportional to 584.16, 876.32 and 199.36 is: 299.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.16 : 876.32 = 199.36 : x
  2. Step 2: Convert to fraction form
    584.16/876.32 = 199.36/x
  3. Step 3: Cross multiply
    584.16x = 876.32 × 199.36
  4. Step 4: Simplify right side
    584.16x = 174,703.16
  5. Step 5: Solve for x
    x = 174,703.16/584.16
  6. Step 6: Final answer
    x = 299.07

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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.