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Finding the Fourth Proportional to 416.45, 624.95 and 286.56

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Solution

The fourth proportional to 416.45, 624.95 and 286.56 is: 430.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.45 : 624.95 = 286.56 : x
  2. Step 2: Convert to fraction form
    416.45/624.95 = 286.56/x
  3. Step 3: Cross multiply
    416.45x = 624.95 × 286.56
  4. Step 4: Simplify right side
    416.45x = 179,084.24
  5. Step 5: Solve for x
    x = 179,084.24/416.45
  6. Step 6: Final answer
    x = 430.03

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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.