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Finding the Fourth Proportional to 503.85, 695.71 and 338.20

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Solution

The fourth proportional to 503.85, 695.71 and 338.20 is: 466.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.85 : 695.71 = 338.20 : x
  2. Step 2: Convert to fraction form
    503.85/695.71 = 338.20/x
  3. Step 3: Cross multiply
    503.85x = 695.71 × 338.20
  4. Step 4: Simplify right side
    503.85x = 235,289.12
  5. Step 5: Solve for x
    x = 235,289.12/503.85
  6. Step 6: Final answer
    x = 466.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.