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Finding the Fourth Proportional to 521.12, 780.01 and 286.49

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Solution

The fourth proportional to 521.12, 780.01 and 286.49 is: 428.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.12 : 780.01 = 286.49 : x
  2. Step 2: Convert to fraction form
    521.12/780.01 = 286.49/x
  3. Step 3: Cross multiply
    521.12x = 780.01 × 286.49
  4. Step 4: Simplify right side
    521.12x = 223,465.06
  5. Step 5: Solve for x
    x = 223,465.06/521.12
  6. Step 6: Final answer
    x = 428.82

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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.