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Finding the Fourth Proportional to 521.99, 783.12 and 214.07

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Solution

The fourth proportional to 521.99, 783.12 and 214.07 is: 321.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.99 : 783.12 = 214.07 : x
  2. Step 2: Convert to fraction form
    521.99/783.12 = 214.07/x
  3. Step 3: Cross multiply
    521.99x = 783.12 × 214.07
  4. Step 4: Simplify right side
    521.99x = 167,640.38
  5. Step 5: Solve for x
    x = 167,640.38/521.99
  6. Step 6: Final answer
    x = 321.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.