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Finding the Fourth Proportional to 522.75, 780.06 and 468.09

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Solution

The fourth proportional to 522.75, 780.06 and 468.09 is: 698.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.75 : 780.06 = 468.09 : x
  2. Step 2: Convert to fraction form
    522.75/780.06 = 468.09/x
  3. Step 3: Cross multiply
    522.75x = 780.06 × 468.09
  4. Step 4: Simplify right side
    522.75x = 365,138.29
  5. Step 5: Solve for x
    x = 365,138.29/522.75
  6. Step 6: Final answer
    x = 698.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.