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Finding the Fourth Proportional to 296.70, 442.46 and 264.18

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Solution

The fourth proportional to 296.70, 442.46 and 264.18 is: 393.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.70 : 442.46 = 264.18 : x
  2. Step 2: Convert to fraction form
    296.70/442.46 = 264.18/x
  3. Step 3: Cross multiply
    296.70x = 442.46 × 264.18
  4. Step 4: Simplify right side
    296.70x = 116,889.08
  5. Step 5: Solve for x
    x = 116,889.08/296.70
  6. Step 6: Final answer
    x = 393.96

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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.