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Finding the Fourth Proportional to 506.83, 699.25 and 307.72

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Solution

The fourth proportional to 506.83, 699.25 and 307.72 is: 424.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.83 : 699.25 = 307.72 : x
  2. Step 2: Convert to fraction form
    506.83/699.25 = 307.72/x
  3. Step 3: Cross multiply
    506.83x = 699.25 × 307.72
  4. Step 4: Simplify right side
    506.83x = 215,173.21
  5. Step 5: Solve for x
    x = 215,173.21/506.83
  6. Step 6: Final answer
    x = 424.55

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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.