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Finding the Fourth Proportional to 506.98, 699.69 and 368.74

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Solution

The fourth proportional to 506.98, 699.69 and 368.74 is: 508.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.98 : 699.69 = 368.74 : x
  2. Step 2: Convert to fraction form
    506.98/699.69 = 368.74/x
  3. Step 3: Cross multiply
    506.98x = 699.69 × 368.74
  4. Step 4: Simplify right side
    506.98x = 258,003.69
  5. Step 5: Solve for x
    x = 258,003.69/506.98
  6. Step 6: Final answer
    x = 508.90

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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.