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Finding the Fourth Proportional to 521.98, 784.09 and 316.64

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Solution

The fourth proportional to 521.98, 784.09 and 316.64 is: 475.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.98 : 784.09 = 316.64 : x
  2. Step 2: Convert to fraction form
    521.98/784.09 = 316.64/x
  3. Step 3: Cross multiply
    521.98x = 784.09 × 316.64
  4. Step 4: Simplify right side
    521.98x = 248,274.26
  5. Step 5: Solve for x
    x = 248,274.26/521.98
  6. Step 6: Final answer
    x = 475.64

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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.