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Finding the Fourth Proportional to 296.14, 408.71 and 286.93

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Solution

The fourth proportional to 296.14, 408.71 and 286.93 is: 396.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.14 : 408.71 = 286.93 : x
  2. Step 2: Convert to fraction form
    296.14/408.71 = 286.93/x
  3. Step 3: Cross multiply
    296.14x = 408.71 × 286.93
  4. Step 4: Simplify right side
    296.14x = 117,271.16
  5. Step 5: Solve for x
    x = 117,271.16/296.14
  6. Step 6: Final answer
    x = 396.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.