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Finding the Fourth Proportional to 601.28, 830 and 443.64

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Solution

The fourth proportional to 601.28, 830 and 443.64 is: 612.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.28 : 830 = 443.64 : x
  2. Step 2: Convert to fraction form
    601.28/830 = 443.64/x
  3. Step 3: Cross multiply
    601.28x = 830 × 443.64
  4. Step 4: Simplify right side
    601.28x = 368,221.20
  5. Step 5: Solve for x
    x = 368,221.20/601.28
  6. Step 6: Final answer
    x = 612.40

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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.