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Finding the Fourth Proportional to 343.71, 514.76 and 290.25

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Solution

The fourth proportional to 343.71, 514.76 and 290.25 is: 434.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.71 : 514.76 = 290.25 : x
  2. Step 2: Convert to fraction form
    343.71/514.76 = 290.25/x
  3. Step 3: Cross multiply
    343.71x = 514.76 × 290.25
  4. Step 4: Simplify right side
    343.71x = 149,407.64
  5. Step 5: Solve for x
    x = 149,407.64/343.71
  6. Step 6: Final answer
    x = 434.69

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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.