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Finding the Fourth Proportional to 507.97, 701 and 275.10

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Solution

The fourth proportional to 507.97, 701 and 275.10 is: 379.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.97 : 701 = 275.10 : x
  2. Step 2: Convert to fraction form
    507.97/701 = 275.10/x
  3. Step 3: Cross multiply
    507.97x = 701 × 275.10
  4. Step 4: Simplify right side
    507.97x = 192,841.60
  5. Step 5: Solve for x
    x = 192,841.60/507.97
  6. Step 6: Final answer
    x = 379.63

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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.