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Finding the Fourth Proportional to 501.30, 752.02 and 338.63

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Solution

The fourth proportional to 501.30, 752.02 and 338.63 is: 507.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.30 : 752.02 = 338.63 : x
  2. Step 2: Convert to fraction form
    501.30/752.02 = 338.63/x
  3. Step 3: Cross multiply
    501.30x = 752.02 × 338.63
  4. Step 4: Simplify right side
    501.30x = 254,651.93
  5. Step 5: Solve for x
    x = 254,651.93/501.30
  6. Step 6: Final answer
    x = 507.98

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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.