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Finding the Fourth Proportional to 507.07, 699.10 and 329.72

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Solution

The fourth proportional to 507.07, 699.10 and 329.72 is: 454.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.07 : 699.10 = 329.72 : x
  2. Step 2: Convert to fraction form
    507.07/699.10 = 329.72/x
  3. Step 3: Cross multiply
    507.07x = 699.10 × 329.72
  4. Step 4: Simplify right side
    507.07x = 230,507.25
  5. Step 5: Solve for x
    x = 230,507.25/507.07
  6. Step 6: Final answer
    x = 454.59

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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.