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Finding the Fourth Proportional to 357.82, 493.59 and 259.40

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Solution

The fourth proportional to 357.82, 493.59 and 259.40 is: 357.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.82 : 493.59 = 259.40 : x
  2. Step 2: Convert to fraction form
    357.82/493.59 = 259.40/x
  3. Step 3: Cross multiply
    357.82x = 493.59 × 259.40
  4. Step 4: Simplify right side
    357.82x = 128,039.45
  5. Step 5: Solve for x
    x = 128,039.45/357.82
  6. Step 6: Final answer
    x = 357.83

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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.