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Finding the Fourth Proportional to 313.95, 432.77 and 248.34

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Solution

The fourth proportional to 313.95, 432.77 and 248.34 is: 342.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.95 : 432.77 = 248.34 : x
  2. Step 2: Convert to fraction form
    313.95/432.77 = 248.34/x
  3. Step 3: Cross multiply
    313.95x = 432.77 × 248.34
  4. Step 4: Simplify right side
    313.95x = 107,472.86
  5. Step 5: Solve for x
    x = 107,472.86/313.95
  6. Step 6: Final answer
    x = 342.32

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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.