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Finding the Fourth Proportional to 341.14, 510.99 and 315.52

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Solution

The fourth proportional to 341.14, 510.99 and 315.52 is: 472.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.14 : 510.99 = 315.52 : x
  2. Step 2: Convert to fraction form
    341.14/510.99 = 315.52/x
  3. Step 3: Cross multiply
    341.14x = 510.99 × 315.52
  4. Step 4: Simplify right side
    341.14x = 161,227.56
  5. Step 5: Solve for x
    x = 161,227.56/341.14
  6. Step 6: Final answer
    x = 472.61

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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.