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Finding the Fourth Proportional to 538.51, 807.96 and 332.84

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Solution

The fourth proportional to 538.51, 807.96 and 332.84 is: 499.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.51 : 807.96 = 332.84 : x
  2. Step 2: Convert to fraction form
    538.51/807.96 = 332.84/x
  3. Step 3: Cross multiply
    538.51x = 807.96 × 332.84
  4. Step 4: Simplify right side
    538.51x = 268,919.74
  5. Step 5: Solve for x
    x = 268,919.74/538.51
  6. Step 6: Final answer
    x = 499.38

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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.