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Finding the Fourth Proportional to 503.08, 694.56 and 337.60

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Solution

The fourth proportional to 503.08, 694.56 and 337.60 is: 466.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.08 : 694.56 = 337.60 : x
  2. Step 2: Convert to fraction form
    503.08/694.56 = 337.60/x
  3. Step 3: Cross multiply
    503.08x = 694.56 × 337.60
  4. Step 4: Simplify right side
    503.08x = 234,483.46
  5. Step 5: Solve for x
    x = 234,483.46/503.08
  6. Step 6: Final answer
    x = 466.10

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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.