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Finding the Fourth Proportional to 507.36, 700.74 and 333.48

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Solution

The fourth proportional to 507.36, 700.74 and 333.48 is: 460.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.36 : 700.74 = 333.48 : x
  2. Step 2: Convert to fraction form
    507.36/700.74 = 333.48/x
  3. Step 3: Cross multiply
    507.36x = 700.74 × 333.48
  4. Step 4: Simplify right side
    507.36x = 233,682.78
  5. Step 5: Solve for x
    x = 233,682.78/507.36
  6. Step 6: Final answer
    x = 460.59

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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.