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Finding the Fourth Proportional to 608.34, 912.64 and 197.47

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Solution

The fourth proportional to 608.34, 912.64 and 197.47 is: 296.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.34 : 912.64 = 197.47 : x
  2. Step 2: Convert to fraction form
    608.34/912.64 = 197.47/x
  3. Step 3: Cross multiply
    608.34x = 912.64 × 197.47
  4. Step 4: Simplify right side
    608.34x = 180,220.59
  5. Step 5: Solve for x
    x = 180,220.59/608.34
  6. Step 6: Final answer
    x = 296.25

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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.