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Finding the Fourth Proportional to 507.44, 760.92 and 263.72

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Solution

The fourth proportional to 507.44, 760.92 and 263.72 is: 395.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.44 : 760.92 = 263.72 : x
  2. Step 2: Convert to fraction form
    507.44/760.92 = 263.72/x
  3. Step 3: Cross multiply
    507.44x = 760.92 × 263.72
  4. Step 4: Simplify right side
    507.44x = 200,669.82
  5. Step 5: Solve for x
    x = 200,669.82/507.44
  6. Step 6: Final answer
    x = 395.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.