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Finding the Fourth Proportional to 711.40, 982.04 and 463.20

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Solution

The fourth proportional to 711.40, 982.04 and 463.20 is: 639.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.40 : 982.04 = 463.20 : x
  2. Step 2: Convert to fraction form
    711.40/982.04 = 463.20/x
  3. Step 3: Cross multiply
    711.40x = 982.04 × 463.20
  4. Step 4: Simplify right side
    711.40x = 454,880.93
  5. Step 5: Solve for x
    x = 454,880.93/711.40
  6. Step 6: Final answer
    x = 639.42

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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.