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Finding the Fourth Proportional to 506.89, 699.19 and 307.63

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Solution

The fourth proportional to 506.89, 699.19 and 307.63 is: 424.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.89 : 699.19 = 307.63 : x
  2. Step 2: Convert to fraction form
    506.89/699.19 = 307.63/x
  3. Step 3: Cross multiply
    506.89x = 699.19 × 307.63
  4. Step 4: Simplify right side
    506.89x = 215,091.82
  5. Step 5: Solve for x
    x = 215,091.82/506.89
  6. Step 6: Final answer
    x = 424.34

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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.