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Finding the Fourth Proportional to 564.32, 846.47 and 153.49

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Solution

The fourth proportional to 564.32, 846.47 and 153.49 is: 230.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.32 : 846.47 = 153.49 : x
  2. Step 2: Convert to fraction form
    564.32/846.47 = 153.49/x
  3. Step 3: Cross multiply
    564.32x = 846.47 × 153.49
  4. Step 4: Simplify right side
    564.32x = 129,923.91
  5. Step 5: Solve for x
    x = 129,923.91/564.32
  6. Step 6: Final answer
    x = 230.23

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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.