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Finding the Fourth Proportional to 294.17, 408.48 and 291.74

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Solution

The fourth proportional to 294.17, 408.48 and 291.74 is: 405.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.17 : 408.48 = 291.74 : x
  2. Step 2: Convert to fraction form
    294.17/408.48 = 291.74/x
  3. Step 3: Cross multiply
    294.17x = 408.48 × 291.74
  4. Step 4: Simplify right side
    294.17x = 119,166.82
  5. Step 5: Solve for x
    x = 119,166.82/294.17
  6. Step 6: Final answer
    x = 405.10

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.