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Finding the Fourth Proportional to 308.22, 424.59 and 302.94

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Solution

The fourth proportional to 308.22, 424.59 and 302.94 is: 417.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.22 : 424.59 = 302.94 : x
  2. Step 2: Convert to fraction form
    308.22/424.59 = 302.94/x
  3. Step 3: Cross multiply
    308.22x = 424.59 × 302.94
  4. Step 4: Simplify right side
    308.22x = 128,625.29
  5. Step 5: Solve for x
    x = 128,625.29/308.22
  6. Step 6: Final answer
    x = 417.32

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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.