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Finding the Fourth Proportional to 506, 699.48 and 460.46

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Solution

The fourth proportional to 506, 699.48 and 460.46 is: 636.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    506 : 699.48 = 460.46 : x
  2. Step 2: Convert to fraction form
    506/699.48 = 460.46/x
  3. Step 3: Cross multiply
    506x = 699.48 × 460.46
  4. Step 4: Simplify right side
    506x = 322,082.56
  5. Step 5: Solve for x
    x = 322,082.56/506
  6. Step 6: Final answer
    x = 636.53

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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.