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Finding the Fourth Proportional to 416.10, 622.98 and 313.86

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Solution

The fourth proportional to 416.10, 622.98 and 313.86 is: 469.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.10 : 622.98 = 313.86 : x
  2. Step 2: Convert to fraction form
    416.10/622.98 = 313.86/x
  3. Step 3: Cross multiply
    416.10x = 622.98 × 313.86
  4. Step 4: Simplify right side
    416.10x = 195,528.50
  5. Step 5: Solve for x
    x = 195,528.50/416.10
  6. Step 6: Final answer
    x = 469.91

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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.