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Finding the Fourth Proportional to 302.15, 417.09 and 296.07

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Solution

The fourth proportional to 302.15, 417.09 and 296.07 is: 408.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.15 : 417.09 = 296.07 : x
  2. Step 2: Convert to fraction form
    302.15/417.09 = 296.07/x
  3. Step 3: Cross multiply
    302.15x = 417.09 × 296.07
  4. Step 4: Simplify right side
    302.15x = 123,487.84
  5. Step 5: Solve for x
    x = 123,487.84/302.15
  6. Step 6: Final answer
    x = 408.70

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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.