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Finding the Fourth Proportional to 630.36, 945.36 and 197.46

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Solution

The fourth proportional to 630.36, 945.36 and 197.46 is: 296.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.36 : 945.36 = 197.46 : x
  2. Step 2: Convert to fraction form
    630.36/945.36 = 197.46/x
  3. Step 3: Cross multiply
    630.36x = 945.36 × 197.46
  4. Step 4: Simplify right side
    630.36x = 186,670.79
  5. Step 5: Solve for x
    x = 186,670.79/630.36
  6. Step 6: Final answer
    x = 296.13

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1.5x scale

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.