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Finding the Fourth Proportional to 373.60, 514.92 and 256.96

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Solution

The fourth proportional to 373.60, 514.92 and 256.96 is: 354.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.60 : 514.92 = 256.96 : x
  2. Step 2: Convert to fraction form
    373.60/514.92 = 256.96/x
  3. Step 3: Cross multiply
    373.60x = 514.92 × 256.96
  4. Step 4: Simplify right side
    373.60x = 132,313.84
  5. Step 5: Solve for x
    x = 132,313.84/373.60
  6. Step 6: Final answer
    x = 354.16

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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.