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Finding the Fourth Proportional to 416.49, 624.70 and 335.86

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Solution

The fourth proportional to 416.49, 624.70 and 335.86 is: 503.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.49 : 624.70 = 335.86 : x
  2. Step 2: Convert to fraction form
    416.49/624.70 = 335.86/x
  3. Step 3: Cross multiply
    416.49x = 624.70 × 335.86
  4. Step 4: Simplify right side
    416.49x = 209,811.74
  5. Step 5: Solve for x
    x = 209,811.74/416.49
  6. Step 6: Final answer
    x = 503.76

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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.