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Finding the Fourth Proportional to 471.44, 705.32 and 416.72

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Solution

The fourth proportional to 471.44, 705.32 and 416.72 is: 623.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.44 : 705.32 = 416.72 : x
  2. Step 2: Convert to fraction form
    471.44/705.32 = 416.72/x
  3. Step 3: Cross multiply
    471.44x = 705.32 × 416.72
  4. Step 4: Simplify right side
    471.44x = 293,920.95
  5. Step 5: Solve for x
    x = 293,920.95/471.44
  6. Step 6: Final answer
    x = 623.45

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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.