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Finding the Fourth Proportional to 296.58, 446.48 and 266.81

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Solution

The fourth proportional to 296.58, 446.48 and 266.81 is: 401.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.58 : 446.48 = 266.81 : x
  2. Step 2: Convert to fraction form
    296.58/446.48 = 266.81/x
  3. Step 3: Cross multiply
    296.58x = 446.48 × 266.81
  4. Step 4: Simplify right side
    296.58x = 119,125.11
  5. Step 5: Solve for x
    x = 119,125.11/296.58
  6. Step 6: Final answer
    x = 401.66

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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.