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Finding the Fourth Proportional to 471.04, 706.32 and 182.40

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Solution

The fourth proportional to 471.04, 706.32 and 182.40 is: 273.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.04 : 706.32 = 182.40 : x
  2. Step 2: Convert to fraction form
    471.04/706.32 = 182.40/x
  3. Step 3: Cross multiply
    471.04x = 706.32 × 182.40
  4. Step 4: Simplify right side
    471.04x = 128,832.77
  5. Step 5: Solve for x
    x = 128,832.77/471.04
  6. Step 6: Final answer
    x = 273.51

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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.