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Finding the Fourth Proportional to 521.88, 782.42 and 316.40

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Solution

The fourth proportional to 521.88, 782.42 and 316.40 is: 474.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.88 : 782.42 = 316.40 : x
  2. Step 2: Convert to fraction form
    521.88/782.42 = 316.40/x
  3. Step 3: Cross multiply
    521.88x = 782.42 × 316.40
  4. Step 4: Simplify right side
    521.88x = 247,554.57
  5. Step 5: Solve for x
    x = 247,554.57/521.88
  6. Step 6: Final answer
    x = 474.35

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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.