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Finding the Fourth Proportional to 343.98, 514.45 and 307.71

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Solution

The fourth proportional to 343.98, 514.45 and 307.71 is: 460.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.98 : 514.45 = 307.71 : x
  2. Step 2: Convert to fraction form
    343.98/514.45 = 307.71/x
  3. Step 3: Cross multiply
    343.98x = 514.45 × 307.71
  4. Step 4: Simplify right side
    343.98x = 158,301.41
  5. Step 5: Solve for x
    x = 158,301.41/343.98
  6. Step 6: Final answer
    x = 460.21

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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.