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Finding the Fourth Proportional to 296.64, 410.40 and 293.76

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Solution

The fourth proportional to 296.64, 410.40 and 293.76 is: 406.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.64 : 410.40 = 293.76 : x
  2. Step 2: Convert to fraction form
    296.64/410.40 = 293.76/x
  3. Step 3: Cross multiply
    296.64x = 410.40 × 293.76
  4. Step 4: Simplify right side
    296.64x = 120,559.10
  5. Step 5: Solve for x
    x = 120,559.10/296.64
  6. Step 6: Final answer
    x = 406.42

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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.