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Finding the Fourth Proportional to 524.36, 786.22 and 380.20

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Solution

The fourth proportional to 524.36, 786.22 and 380.20 is: 570.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.36 : 786.22 = 380.20 : x
  2. Step 2: Convert to fraction form
    524.36/786.22 = 380.20/x
  3. Step 3: Cross multiply
    524.36x = 786.22 × 380.20
  4. Step 4: Simplify right side
    524.36x = 298,920.84
  5. Step 5: Solve for x
    x = 298,920.84/524.36
  6. Step 6: Final answer
    x = 570.07

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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.