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Finding the Fourth Proportional to 357.96, 493.78 and 259.54

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Solution

The fourth proportional to 357.96, 493.78 and 259.54 is: 358.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.96 : 493.78 = 259.54 : x
  2. Step 2: Convert to fraction form
    357.96/493.78 = 259.54/x
  3. Step 3: Cross multiply
    357.96x = 493.78 × 259.54
  4. Step 4: Simplify right side
    357.96x = 128,155.66
  5. Step 5: Solve for x
    x = 128,155.66/357.96
  6. Step 6: Final answer
    x = 358.02

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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.