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Finding the Fourth Proportional to 521.94, 783.07 and 329.70

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Solution

The fourth proportional to 521.94, 783.07 and 329.70 is: 494.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.94 : 783.07 = 329.70 : x
  2. Step 2: Convert to fraction form
    521.94/783.07 = 329.70/x
  3. Step 3: Cross multiply
    521.94x = 783.07 × 329.70
  4. Step 4: Simplify right side
    521.94x = 258,178.18
  5. Step 5: Solve for x
    x = 258,178.18/521.94
  6. Step 6: Final answer
    x = 494.65

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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.