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Finding the Fourth Proportional to 343.42, 514.45 and 315.42

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Solution

The fourth proportional to 343.42, 514.45 and 315.42 is: 472.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.42 : 514.45 = 315.42 : x
  2. Step 2: Convert to fraction form
    343.42/514.45 = 315.42/x
  3. Step 3: Cross multiply
    343.42x = 514.45 × 315.42
  4. Step 4: Simplify right side
    343.42x = 162,267.82
  5. Step 5: Solve for x
    x = 162,267.82/343.42
  6. Step 6: Final answer
    x = 472.51

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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.