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Finding the Fourth Proportional to 608.52, 912.91 and 197.70

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Solution

The fourth proportional to 608.52, 912.91 and 197.70 is: 296.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.52 : 912.91 = 197.70 : x
  2. Step 2: Convert to fraction form
    608.52/912.91 = 197.70/x
  3. Step 3: Cross multiply
    608.52x = 912.91 × 197.70
  4. Step 4: Simplify right side
    608.52x = 180,477.74
  5. Step 5: Solve for x
    x = 180,477.74/608.52
  6. Step 6: Final answer
    x = 296.58

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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.