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Finding the Fourth Proportional to 916.96, 1,375.72 and 292.24

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Solution

The fourth proportional to 916.96, 1,375.72 and 292.24 is: 438.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.96 : 1,375.72 = 292.24 : x
  2. Step 2: Convert to fraction form
    916.96/1,375.72 = 292.24/x
  3. Step 3: Cross multiply
    916.96x = 1,375.72 × 292.24
  4. Step 4: Simplify right side
    916.96x = 402,040.41
  5. Step 5: Solve for x
    x = 402,040.41/916.96
  6. Step 6: Final answer
    x = 438.45

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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.