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Finding the Fourth Proportional to 522.12, 782.01 and 278.04

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Solution

The fourth proportional to 522.12, 782.01 and 278.04 is: 416.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.12 : 782.01 = 278.04 : x
  2. Step 2: Convert to fraction form
    522.12/782.01 = 278.04/x
  3. Step 3: Cross multiply
    522.12x = 782.01 × 278.04
  4. Step 4: Simplify right side
    522.12x = 217,430.06
  5. Step 5: Solve for x
    x = 217,430.06/522.12
  6. Step 6: Final answer
    x = 416.44

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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.