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Finding the Fourth Proportional to 296.66, 447.34 and 291.18

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Solution

The fourth proportional to 296.66, 447.34 and 291.18 is: 439.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.66 : 447.34 = 291.18 : x
  2. Step 2: Convert to fraction form
    296.66/447.34 = 291.18/x
  3. Step 3: Cross multiply
    296.66x = 447.34 × 291.18
  4. Step 4: Simplify right side
    296.66x = 130,256.46
  5. Step 5: Solve for x
    x = 130,256.46/296.66
  6. Step 6: Final answer
    x = 439.08

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.