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Finding the Fourth Proportional to 711.41, 981.18 and 490.28

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Solution

The fourth proportional to 711.41, 981.18 and 490.28 is: 676.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.41 : 981.18 = 490.28 : x
  2. Step 2: Convert to fraction form
    711.41/981.18 = 490.28/x
  3. Step 3: Cross multiply
    711.41x = 981.18 × 490.28
  4. Step 4: Simplify right side
    711.41x = 481,048.02
  5. Step 5: Solve for x
    x = 481,048.02/711.41
  6. Step 6: Final answer
    x = 676.19

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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.