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Finding the Fourth Proportional to 387.67, 534 and 362.16

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Solution

The fourth proportional to 387.67, 534 and 362.16 is: 498.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.67 : 534 = 362.16 : x
  2. Step 2: Convert to fraction form
    387.67/534 = 362.16/x
  3. Step 3: Cross multiply
    387.67x = 534 × 362.16
  4. Step 4: Simplify right side
    387.67x = 193,393.44
  5. Step 5: Solve for x
    x = 193,393.44/387.67
  6. Step 6: Final answer
    x = 498.86

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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.