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Finding the Fourth Proportional to 506.86, 699.63 and 307.80

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Solution

The fourth proportional to 506.86, 699.63 and 307.80 is: 424.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.86 : 699.63 = 307.80 : x
  2. Step 2: Convert to fraction form
    506.86/699.63 = 307.80/x
  3. Step 3: Cross multiply
    506.86x = 699.63 × 307.80
  4. Step 4: Simplify right side
    506.86x = 215,346.11
  5. Step 5: Solve for x
    x = 215,346.11/506.86
  6. Step 6: Final answer
    x = 424.86

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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.