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Finding the Fourth Proportional to 370.15, 510.96 and 252.34

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Solution

The fourth proportional to 370.15, 510.96 and 252.34 is: 348.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.15 : 510.96 = 252.34 : x
  2. Step 2: Convert to fraction form
    370.15/510.96 = 252.34/x
  3. Step 3: Cross multiply
    370.15x = 510.96 × 252.34
  4. Step 4: Simplify right side
    370.15x = 128,935.65
  5. Step 5: Solve for x
    x = 128,935.65/370.15
  6. Step 6: Final answer
    x = 348.33

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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.