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Finding the Fourth Proportional to 357.54, 493.50 and 270.90

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Solution

The fourth proportional to 357.54, 493.50 and 270.90 is: 373.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.54 : 493.50 = 270.90 : x
  2. Step 2: Convert to fraction form
    357.54/493.50 = 270.90/x
  3. Step 3: Cross multiply
    357.54x = 493.50 × 270.90
  4. Step 4: Simplify right side
    357.54x = 133,689.15
  5. Step 5: Solve for x
    x = 133,689.15/357.54
  6. Step 6: Final answer
    x = 373.91

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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.