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Finding the Fourth Proportional to 521.98, 782.16 and 316.06

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Solution

The fourth proportional to 521.98, 782.16 and 316.06 is: 473.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.98 : 782.16 = 316.06 : x
  2. Step 2: Convert to fraction form
    521.98/782.16 = 316.06/x
  3. Step 3: Cross multiply
    521.98x = 782.16 × 316.06
  4. Step 4: Simplify right side
    521.98x = 247,209.49
  5. Step 5: Solve for x
    x = 247,209.49/521.98
  6. Step 6: Final answer
    x = 473.60

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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.