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Finding the Fourth Proportional to 630.54, 946.14 and 284.14

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Solution

The fourth proportional to 630.54, 946.14 and 284.14 is: 426.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.54 : 946.14 = 284.14 : x
  2. Step 2: Convert to fraction form
    630.54/946.14 = 284.14/x
  3. Step 3: Cross multiply
    630.54x = 946.14 × 284.14
  4. Step 4: Simplify right side
    630.54x = 268,836.22
  5. Step 5: Solve for x
    x = 268,836.22/630.54
  6. Step 6: Final answer
    x = 426.36

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Double scale
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Similar ratio
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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.