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Finding the Fourth Proportional to 524.22, 786.35 and 235.66

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Solution

The fourth proportional to 524.22, 786.35 and 235.66 is: 353.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.22 : 786.35 = 235.66 : x
  2. Step 2: Convert to fraction form
    524.22/786.35 = 235.66/x
  3. Step 3: Cross multiply
    524.22x = 786.35 × 235.66
  4. Step 4: Simplify right side
    524.22x = 185,308.10
  5. Step 5: Solve for x
    x = 185,308.10/524.22
  6. Step 6: Final answer
    x = 353.49

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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.