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Finding the Fourth Proportional to 946.41, 1,419.15 and 398.43

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Solution

The fourth proportional to 946.41, 1,419.15 and 398.43 is: 597.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.41 : 1,419.15 = 398.43 : x
  2. Step 2: Convert to fraction form
    946.41/1,419.15 = 398.43/x
  3. Step 3: Cross multiply
    946.41x = 1,419.15 × 398.43
  4. Step 4: Simplify right side
    946.41x = 565,431.93
  5. Step 5: Solve for x
    x = 565,431.93/946.41
  6. Step 6: Final answer
    x = 597.45

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Double scale
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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.