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Finding the Fourth Proportional to 310.10, 461.76 and 294.35

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Solution

The fourth proportional to 310.10, 461.76 and 294.35 is: 438.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.10 : 461.76 = 294.35 : x
  2. Step 2: Convert to fraction form
    310.10/461.76 = 294.35/x
  3. Step 3: Cross multiply
    310.10x = 461.76 × 294.35
  4. Step 4: Simplify right side
    310.10x = 135,916.75
  5. Step 5: Solve for x
    x = 135,916.75/310.10
  6. Step 6: Final answer
    x = 438.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.