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Finding the Fourth Proportional to 916.08, 1,374.18 and 331.02

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Solution

The fourth proportional to 916.08, 1,374.18 and 331.02 is: 496.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.08 : 1,374.18 = 331.02 : x
  2. Step 2: Convert to fraction form
    916.08/1,374.18 = 331.02/x
  3. Step 3: Cross multiply
    916.08x = 1,374.18 × 331.02
  4. Step 4: Simplify right side
    916.08x = 454,881.06
  5. Step 5: Solve for x
    x = 454,881.06/916.08
  6. Step 6: Final answer
    x = 496.55

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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.