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Finding the Fourth Proportional to 522.56, 783.58 and 197.95

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Solution

The fourth proportional to 522.56, 783.58 and 197.95 is: 296.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.56 : 783.58 = 197.95 : x
  2. Step 2: Convert to fraction form
    522.56/783.58 = 197.95/x
  3. Step 3: Cross multiply
    522.56x = 783.58 × 197.95
  4. Step 4: Simplify right side
    522.56x = 155,107.21
  5. Step 5: Solve for x
    x = 155,107.21/522.56
  6. Step 6: Final answer
    x = 296.82

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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.