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Finding the Fourth Proportional to 357.67, 493.86 and 259.66

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Solution

The fourth proportional to 357.67, 493.86 and 259.66 is: 358.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.67 : 493.86 = 259.66 : x
  2. Step 2: Convert to fraction form
    357.67/493.86 = 259.66/x
  3. Step 3: Cross multiply
    357.67x = 493.86 × 259.66
  4. Step 4: Simplify right side
    357.67x = 128,235.69
  5. Step 5: Solve for x
    x = 128,235.69/357.67
  6. Step 6: Final answer
    x = 358.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.