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Finding the Fourth Proportional to 354.08, 488.76 and 310.16

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Solution

The fourth proportional to 354.08, 488.76 and 310.16 is: 428.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.08 : 488.76 = 310.16 : x
  2. Step 2: Convert to fraction form
    354.08/488.76 = 310.16/x
  3. Step 3: Cross multiply
    354.08x = 488.76 × 310.16
  4. Step 4: Simplify right side
    354.08x = 151,593.80
  5. Step 5: Solve for x
    x = 151,593.80/354.08
  6. Step 6: Final answer
    x = 428.13

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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.