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Finding the Fourth Proportional to 385.80, 532.17 and 302.78

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Solution

The fourth proportional to 385.80, 532.17 and 302.78 is: 417.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.80 : 532.17 = 302.78 : x
  2. Step 2: Convert to fraction form
    385.80/532.17 = 302.78/x
  3. Step 3: Cross multiply
    385.80x = 532.17 × 302.78
  4. Step 4: Simplify right side
    385.80x = 161,127.77
  5. Step 5: Solve for x
    x = 161,127.77/385.80
  6. Step 6: Final answer
    x = 417.65

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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.