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Finding the Fourth Proportional to 521.39, 779.78 and 464.01

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Solution

The fourth proportional to 521.39, 779.78 and 464.01 is: 693.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.39 : 779.78 = 464.01 : x
  2. Step 2: Convert to fraction form
    521.39/779.78 = 464.01/x
  3. Step 3: Cross multiply
    521.39x = 779.78 × 464.01
  4. Step 4: Simplify right side
    521.39x = 361,825.72
  5. Step 5: Solve for x
    x = 361,825.72/521.39
  6. Step 6: Final answer
    x = 693.96

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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.