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Finding the Fourth Proportional to 522.64, 782.34 and 278.56

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Solution

The fourth proportional to 522.64, 782.34 and 278.56 is: 416.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.64 : 782.34 = 278.56 : x
  2. Step 2: Convert to fraction form
    522.64/782.34 = 278.56/x
  3. Step 3: Cross multiply
    522.64x = 782.34 × 278.56
  4. Step 4: Simplify right side
    522.64x = 217,928.63
  5. Step 5: Solve for x
    x = 217,928.63/522.64
  6. Step 6: Final answer
    x = 416.98

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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.