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Finding the Fourth Proportional to 357.12, 493.42 and 294.90

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Solution

The fourth proportional to 357.12, 493.42 and 294.90 is: 407.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.12 : 493.42 = 294.90 : x
  2. Step 2: Convert to fraction form
    357.12/493.42 = 294.90/x
  3. Step 3: Cross multiply
    357.12x = 493.42 × 294.90
  4. Step 4: Simplify right side
    357.12x = 145,509.56
  5. Step 5: Solve for x
    x = 145,509.56/357.12
  6. Step 6: Final answer
    x = 407.45

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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.