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Finding the Fourth Proportional to 338.55, 507.47 and 280.43

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Solution

The fourth proportional to 338.55, 507.47 and 280.43 is: 420.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.55 : 507.47 = 280.43 : x
  2. Step 2: Convert to fraction form
    338.55/507.47 = 280.43/x
  3. Step 3: Cross multiply
    338.55x = 507.47 × 280.43
  4. Step 4: Simplify right side
    338.55x = 142,307.78
  5. Step 5: Solve for x
    x = 142,307.78/338.55
  6. Step 6: Final answer
    x = 420.35

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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.