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Finding the Fourth Proportional to 355.68, 531.03 and 294.96

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Solution

The fourth proportional to 355.68, 531.03 and 294.96 is: 440.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.68 : 531.03 = 294.96 : x
  2. Step 2: Convert to fraction form
    355.68/531.03 = 294.96/x
  3. Step 3: Cross multiply
    355.68x = 531.03 × 294.96
  4. Step 4: Simplify right side
    355.68x = 156,632.61
  5. Step 5: Solve for x
    x = 156,632.61/355.68
  6. Step 6: Final answer
    x = 440.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.