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Finding the Fourth Proportional to 507.41, 757.44 and 469.33

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Solution

The fourth proportional to 507.41, 757.44 and 469.33 is: 700.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.41 : 757.44 = 469.33 : x
  2. Step 2: Convert to fraction form
    507.41/757.44 = 469.33/x
  3. Step 3: Cross multiply
    507.41x = 757.44 × 469.33
  4. Step 4: Simplify right side
    507.41x = 355,489.96
  5. Step 5: Solve for x
    x = 355,489.96/507.41
  6. Step 6: Final answer
    x = 700.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.