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Finding the Fourth Proportional to 313.13, 432.14 and 257.85

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Solution

The fourth proportional to 313.13, 432.14 and 257.85 is: 355.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.13 : 432.14 = 257.85 : x
  2. Step 2: Convert to fraction form
    313.13/432.14 = 257.85/x
  3. Step 3: Cross multiply
    313.13x = 432.14 × 257.85
  4. Step 4: Simplify right side
    313.13x = 111,426.01
  5. Step 5: Solve for x
    x = 111,426.01/313.13
  6. Step 6: Final answer
    x = 355.84

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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.