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Finding the Fourth Proportional to 362.48, 540.75 and 357.87

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Solution

The fourth proportional to 362.48, 540.75 and 357.87 is: 533.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.48 : 540.75 = 357.87 : x
  2. Step 2: Convert to fraction form
    362.48/540.75 = 357.87/x
  3. Step 3: Cross multiply
    362.48x = 540.75 × 357.87
  4. Step 4: Simplify right side
    362.48x = 193,518.20
  5. Step 5: Solve for x
    x = 193,518.20/362.48
  6. Step 6: Final answer
    x = 533.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.