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Finding the Fourth Proportional to 370.25, 510.71 and 237.50

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Solution

The fourth proportional to 370.25, 510.71 and 237.50 is: 327.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.25 : 510.71 = 237.50 : x
  2. Step 2: Convert to fraction form
    370.25/510.71 = 237.50/x
  3. Step 3: Cross multiply
    370.25x = 510.71 × 237.50
  4. Step 4: Simplify right side
    370.25x = 121,289.88
  5. Step 5: Solve for x
    x = 121,289.88/370.25
  6. Step 6: Final answer
    x = 327.59

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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.