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Finding the Fourth Proportional to 302.72, 419.45 and 296.24

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Solution

The fourth proportional to 302.72, 419.45 and 296.24 is: 410.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.72 : 419.45 = 296.24 : x
  2. Step 2: Convert to fraction form
    302.72/419.45 = 296.24/x
  3. Step 3: Cross multiply
    302.72x = 419.45 × 296.24
  4. Step 4: Simplify right side
    302.72x = 124,254.29
  5. Step 5: Solve for x
    x = 124,254.29/302.72
  6. Step 6: Final answer
    x = 410.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.