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Finding the Fourth Proportional to 387.36, 534.33 and 313.74

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Solution

The fourth proportional to 387.36, 534.33 and 313.74 is: 432.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.36 : 534.33 = 313.74 : x
  2. Step 2: Convert to fraction form
    387.36/534.33 = 313.74/x
  3. Step 3: Cross multiply
    387.36x = 534.33 × 313.74
  4. Step 4: Simplify right side
    387.36x = 167,640.69
  5. Step 5: Solve for x
    x = 167,640.69/387.36
  6. Step 6: Final answer
    x = 432.78

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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.