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Finding the Fourth Proportional to 357.50, 493.48 and 279.74

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Solution

The fourth proportional to 357.50, 493.48 and 279.74 is: 386.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.50 : 493.48 = 279.74 : x
  2. Step 2: Convert to fraction form
    357.50/493.48 = 279.74/x
  3. Step 3: Cross multiply
    357.50x = 493.48 × 279.74
  4. Step 4: Simplify right side
    357.50x = 138,046.10
  5. Step 5: Solve for x
    x = 138,046.10/357.50
  6. Step 6: Final answer
    x = 386.14

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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.