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Finding the Fourth Proportional to 296.04, 411.36 and 293.10

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Solution

The fourth proportional to 296.04, 411.36 and 293.10 is: 407.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.04 : 411.36 = 293.10 : x
  2. Step 2: Convert to fraction form
    296.04/411.36 = 293.10/x
  3. Step 3: Cross multiply
    296.04x = 411.36 × 293.10
  4. Step 4: Simplify right side
    296.04x = 120,569.62
  5. Step 5: Solve for x
    x = 120,569.62/296.04
  6. Step 6: Final answer
    x = 407.27

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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.