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Finding the Fourth Proportional to 638.20, 955.84 and 530.20

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Solution

The fourth proportional to 638.20, 955.84 and 530.20 is: 794.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.20 : 955.84 = 530.20 : x
  2. Step 2: Convert to fraction form
    638.20/955.84 = 530.20/x
  3. Step 3: Cross multiply
    638.20x = 955.84 × 530.20
  4. Step 4: Simplify right side
    638.20x = 506,786.37
  5. Step 5: Solve for x
    x = 506,786.37/638.20
  6. Step 6: Final answer
    x = 794.09

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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.