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Finding the Fourth Proportional to 509.92, 762.48 and 438.88

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Solution

The fourth proportional to 509.92, 762.48 and 438.88 is: 656.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.92 : 762.48 = 438.88 : x
  2. Step 2: Convert to fraction form
    509.92/762.48 = 438.88/x
  3. Step 3: Cross multiply
    509.92x = 762.48 × 438.88
  4. Step 4: Simplify right side
    509.92x = 334,637.22
  5. Step 5: Solve for x
    x = 334,637.22/509.92
  6. Step 6: Final answer
    x = 656.25

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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.