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Finding the Fourth Proportional to 544.16, 750.96 and 311.36

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Solution

The fourth proportional to 544.16, 750.96 and 311.36 is: 429.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.16 : 750.96 = 311.36 : x
  2. Step 2: Convert to fraction form
    544.16/750.96 = 311.36/x
  3. Step 3: Cross multiply
    544.16x = 750.96 × 311.36
  4. Step 4: Simplify right side
    544.16x = 233,818.91
  5. Step 5: Solve for x
    x = 233,818.91/544.16
  6. Step 6: Final answer
    x = 429.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.