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Finding the Fourth Proportional to 416.70, 624.23 and 314.10

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Solution

The fourth proportional to 416.70, 624.23 and 314.10 is: 470.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.70 : 624.23 = 314.10 : x
  2. Step 2: Convert to fraction form
    416.70/624.23 = 314.10/x
  3. Step 3: Cross multiply
    416.70x = 624.23 × 314.10
  4. Step 4: Simplify right side
    416.70x = 196,070.64
  5. Step 5: Solve for x
    x = 196,070.64/416.70
  6. Step 6: Final answer
    x = 470.53

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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.