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Finding the Fourth Proportional to 503.18, 693.65 and 353.33

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Solution

The fourth proportional to 503.18, 693.65 and 353.33 is: 487.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.18 : 693.65 = 353.33 : x
  2. Step 2: Convert to fraction form
    503.18/693.65 = 353.33/x
  3. Step 3: Cross multiply
    503.18x = 693.65 × 353.33
  4. Step 4: Simplify right side
    503.18x = 245,082.12
  5. Step 5: Solve for x
    x = 245,082.12/503.18
  6. Step 6: Final answer
    x = 487.07

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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.