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Finding the Fourth Proportional to 521.62, 780.80 and 406.40

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Solution

The fourth proportional to 521.62, 780.80 and 406.40 is: 608.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.62 : 780.80 = 406.40 : x
  2. Step 2: Convert to fraction form
    521.62/780.80 = 406.40/x
  3. Step 3: Cross multiply
    521.62x = 780.80 × 406.40
  4. Step 4: Simplify right side
    521.62x = 317,317.12
  5. Step 5: Solve for x
    x = 317,317.12/521.62
  6. Step 6: Final answer
    x = 608.33

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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.