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Finding the Fourth Proportional to 298.08, 410.48 and 256.58

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Solution

The fourth proportional to 298.08, 410.48 and 256.58 is: 353.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.08 : 410.48 = 256.58 : x
  2. Step 2: Convert to fraction form
    298.08/410.48 = 256.58/x
  3. Step 3: Cross multiply
    298.08x = 410.48 × 256.58
  4. Step 4: Simplify right side
    298.08x = 105,320.96
  5. Step 5: Solve for x
    x = 105,320.96/298.08
  6. Step 6: Final answer
    x = 353.33

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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.