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Finding the Fourth Proportional to 471.42, 705.47 and 416.34

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Solution

The fourth proportional to 471.42, 705.47 and 416.34 is: 623.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.42 : 705.47 = 416.34 : x
  2. Step 2: Convert to fraction form
    471.42/705.47 = 416.34/x
  3. Step 3: Cross multiply
    471.42x = 705.47 × 416.34
  4. Step 4: Simplify right side
    471.42x = 293,713.30
  5. Step 5: Solve for x
    x = 293,713.30/471.42
  6. Step 6: Final answer
    x = 623.04

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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.