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Finding the Fourth Proportional to 357.57, 493.34 and 241.16

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Solution

The fourth proportional to 357.57, 493.34 and 241.16 is: 332.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.57 : 493.34 = 241.16 : x
  2. Step 2: Convert to fraction form
    357.57/493.34 = 241.16/x
  3. Step 3: Cross multiply
    357.57x = 493.34 × 241.16
  4. Step 4: Simplify right side
    357.57x = 118,970.20
  5. Step 5: Solve for x
    x = 118,970.20/357.57
  6. Step 6: Final answer
    x = 332.72

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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.