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Finding the Fourth Proportional to 357.50, 493.13 and 318.62

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Solution

The fourth proportional to 357.50, 493.13 and 318.62 is: 439.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.50 : 493.13 = 318.62 : x
  2. Step 2: Convert to fraction form
    357.50/493.13 = 318.62/x
  3. Step 3: Cross multiply
    357.50x = 493.13 × 318.62
  4. Step 4: Simplify right side
    357.50x = 157,117.02
  5. Step 5: Solve for x
    x = 157,117.02/357.50
  6. Step 6: Final answer
    x = 439.49

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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.