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Finding the Fourth Proportional to 386.91, 534.60 and 313.10

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Solution

The fourth proportional to 386.91, 534.60 and 313.10 is: 432.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.91 : 534.60 = 313.10 : x
  2. Step 2: Convert to fraction form
    386.91/534.60 = 313.10/x
  3. Step 3: Cross multiply
    386.91x = 534.60 × 313.10
  4. Step 4: Simplify right side
    386.91x = 167,382.59
  5. Step 5: Solve for x
    x = 167,382.59/386.91
  6. Step 6: Final answer
    x = 432.61

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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.