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Finding the Fourth Proportional to 370.46, 510 and 314.18

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Solution

The fourth proportional to 370.46, 510 and 314.18 is: 432.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.46 : 510 = 314.18 : x
  2. Step 2: Convert to fraction form
    370.46/510 = 314.18/x
  3. Step 3: Cross multiply
    370.46x = 510 × 314.18
  4. Step 4: Simplify right side
    370.46x = 160,231.80
  5. Step 5: Solve for x
    x = 160,231.80/370.46
  6. Step 6: Final answer
    x = 432.52

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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.