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Finding the Fourth Proportional to 506.57, 699.10 and 282.51

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Solution

The fourth proportional to 506.57, 699.10 and 282.51 is: 389.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.57 : 699.10 = 282.51 : x
  2. Step 2: Convert to fraction form
    506.57/699.10 = 282.51/x
  3. Step 3: Cross multiply
    506.57x = 699.10 × 282.51
  4. Step 4: Simplify right side
    506.57x = 197,502.74
  5. Step 5: Solve for x
    x = 197,502.74/506.57
  6. Step 6: Final answer
    x = 389.88

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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.