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Finding the Fourth Proportional to 506.66, 699.13 and 373.95

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Solution

The fourth proportional to 506.66, 699.13 and 373.95 is: 516.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.66 : 699.13 = 373.95 : x
  2. Step 2: Convert to fraction form
    506.66/699.13 = 373.95/x
  3. Step 3: Cross multiply
    506.66x = 699.13 × 373.95
  4. Step 4: Simplify right side
    506.66x = 261,434.30
  5. Step 5: Solve for x
    x = 261,434.30/506.66
  6. Step 6: Final answer
    x = 516.00

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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.