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Finding the Fourth Proportional to 296.64, 411.26 and 290.70

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Solution

The fourth proportional to 296.64, 411.26 and 290.70 is: 403.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.64 : 411.26 = 290.70 : x
  2. Step 2: Convert to fraction form
    296.64/411.26 = 290.70/x
  3. Step 3: Cross multiply
    296.64x = 411.26 × 290.70
  4. Step 4: Simplify right side
    296.64x = 119,551.83
  5. Step 5: Solve for x
    x = 119,551.83/296.64
  6. Step 6: Final answer
    x = 403.02

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Why These Related Problems?

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