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Finding the Fourth Proportional to 630.69, 869.43 and 443.62

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Solution

The fourth proportional to 630.69, 869.43 and 443.62 is: 611.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.69 : 869.43 = 443.62 : x
  2. Step 2: Convert to fraction form
    630.69/869.43 = 443.62/x
  3. Step 3: Cross multiply
    630.69x = 869.43 × 443.62
  4. Step 4: Simplify right side
    630.69x = 385,696.54
  5. Step 5: Solve for x
    x = 385,696.54/630.69
  6. Step 6: Final answer
    x = 611.55

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.