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Finding the Fourth Proportional to 296.28, 407.97 and 265.10

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Solution

The fourth proportional to 296.28, 407.97 and 265.10 is: 365.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.28 : 407.97 = 265.10 : x
  2. Step 2: Convert to fraction form
    296.28/407.97 = 265.10/x
  3. Step 3: Cross multiply
    296.28x = 407.97 × 265.10
  4. Step 4: Simplify right side
    296.28x = 108,150.81
  5. Step 5: Solve for x
    x = 108,150.81/296.28
  6. Step 6: Final answer
    x = 365.03

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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.