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Finding the Fourth Proportional to 520.98, 782.59 and 315.64

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Solution

The fourth proportional to 520.98, 782.59 and 315.64 is: 474.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.98 : 782.59 = 315.64 : x
  2. Step 2: Convert to fraction form
    520.98/782.59 = 315.64/x
  3. Step 3: Cross multiply
    520.98x = 782.59 × 315.64
  4. Step 4: Simplify right side
    520.98x = 247,016.71
  5. Step 5: Solve for x
    x = 247,016.71/520.98
  6. Step 6: Final answer
    x = 474.14

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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.