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Finding the Fourth Proportional to 507.38, 700.38 and 332.82

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Solution

The fourth proportional to 507.38, 700.38 and 332.82 is: 459.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.38 : 700.38 = 332.82 : x
  2. Step 2: Convert to fraction form
    507.38/700.38 = 332.82/x
  3. Step 3: Cross multiply
    507.38x = 700.38 × 332.82
  4. Step 4: Simplify right side
    507.38x = 233,100.47
  5. Step 5: Solve for x
    x = 233,100.47/507.38
  6. Step 6: Final answer
    x = 459.42

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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.