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Finding the Fourth Proportional to 362.40, 542.37 and 316.50

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Solution

The fourth proportional to 362.40, 542.37 and 316.50 is: 473.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.40 : 542.37 = 316.50 : x
  2. Step 2: Convert to fraction form
    362.40/542.37 = 316.50/x
  3. Step 3: Cross multiply
    362.40x = 542.37 × 316.50
  4. Step 4: Simplify right side
    362.40x = 171,660.11
  5. Step 5: Solve for x
    x = 171,660.11/362.40
  6. Step 6: Final answer
    x = 473.68

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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.