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Finding the Fourth Proportional to 313.54, 432.32 and 257.33

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Solution

The fourth proportional to 313.54, 432.32 and 257.33 is: 354.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.54 : 432.32 = 257.33 : x
  2. Step 2: Convert to fraction form
    313.54/432.32 = 257.33/x
  3. Step 3: Cross multiply
    313.54x = 432.32 × 257.33
  4. Step 4: Simplify right side
    313.54x = 111,248.70
  5. Step 5: Solve for x
    x = 111,248.70/313.54
  6. Step 6: Final answer
    x = 354.82

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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.