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Finding the Fourth Proportional to 526.20, 786.36 and 422.97

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Solution

The fourth proportional to 526.20, 786.36 and 422.97 is: 632.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.20 : 786.36 = 422.97 : x
  2. Step 2: Convert to fraction form
    526.20/786.36 = 422.97/x
  3. Step 3: Cross multiply
    526.20x = 786.36 × 422.97
  4. Step 4: Simplify right side
    526.20x = 332,607.37
  5. Step 5: Solve for x
    x = 332,607.37/526.20
  6. Step 6: Final answer
    x = 632.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.