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Finding the Fourth Proportional to 471.35, 706.08 and 374.02

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Solution

The fourth proportional to 471.35, 706.08 and 374.02 is: 560.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.35 : 706.08 = 374.02 : x
  2. Step 2: Convert to fraction form
    471.35/706.08 = 374.02/x
  3. Step 3: Cross multiply
    471.35x = 706.08 × 374.02
  4. Step 4: Simplify right side
    471.35x = 264,087.68
  5. Step 5: Solve for x
    x = 264,087.68/471.35
  6. Step 6: Final answer
    x = 560.28

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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.