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Finding the Fourth Proportional to 506.88, 699.84 and 408.72

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Solution

The fourth proportional to 506.88, 699.84 and 408.72 is: 564.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.88 : 699.84 = 408.72 : x
  2. Step 2: Convert to fraction form
    506.88/699.84 = 408.72/x
  3. Step 3: Cross multiply
    506.88x = 699.84 × 408.72
  4. Step 4: Simplify right side
    506.88x = 286,038.60
  5. Step 5: Solve for x
    x = 286,038.60/506.88
  6. Step 6: Final answer
    x = 564.31

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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.