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Finding the Fourth Proportional to 306.96, 420.42 and 296.08

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Solution

The fourth proportional to 306.96, 420.42 and 296.08 is: 405.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.96 : 420.42 = 296.08 : x
  2. Step 2: Convert to fraction form
    306.96/420.42 = 296.08/x
  3. Step 3: Cross multiply
    306.96x = 420.42 × 296.08
  4. Step 4: Simplify right side
    306.96x = 124,477.95
  5. Step 5: Solve for x
    x = 124,477.95/306.96
  6. Step 6: Final answer
    x = 405.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.