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Finding the Fourth Proportional to 521.48, 780.14 and 405.03

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Solution

The fourth proportional to 521.48, 780.14 and 405.03 is: 605.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.48 : 780.14 = 405.03 : x
  2. Step 2: Convert to fraction form
    521.48/780.14 = 405.03/x
  3. Step 3: Cross multiply
    521.48x = 780.14 × 405.03
  4. Step 4: Simplify right side
    521.48x = 315,978.08
  5. Step 5: Solve for x
    x = 315,978.08/521.48
  6. Step 6: Final answer
    x = 605.93

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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.