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Finding the Fourth Proportional to 521.21, 779.79 and 358.40

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Solution

The fourth proportional to 521.21, 779.79 and 358.40 is: 536.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.21 : 779.79 = 358.40 : x
  2. Step 2: Convert to fraction form
    521.21/779.79 = 358.40/x
  3. Step 3: Cross multiply
    521.21x = 779.79 × 358.40
  4. Step 4: Simplify right side
    521.21x = 279,476.74
  5. Step 5: Solve for x
    x = 279,476.74/521.21
  6. Step 6: Final answer
    x = 536.21

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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.