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Finding the Fourth Proportional to 302.42, 416.46 and 296.30

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Solution

The fourth proportional to 302.42, 416.46 and 296.30 is: 408.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.42 : 416.46 = 296.30 : x
  2. Step 2: Convert to fraction form
    302.42/416.46 = 296.30/x
  3. Step 3: Cross multiply
    302.42x = 416.46 × 296.30
  4. Step 4: Simplify right side
    302.42x = 123,397.10
  5. Step 5: Solve for x
    x = 123,397.10/302.42
  6. Step 6: Final answer
    x = 408.03

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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.