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Finding the Fourth Proportional to 471.05, 706.64 and 146.45

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Solution

The fourth proportional to 471.05, 706.64 and 146.45 is: 219.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.05 : 706.64 = 146.45 : x
  2. Step 2: Convert to fraction form
    471.05/706.64 = 146.45/x
  3. Step 3: Cross multiply
    471.05x = 706.64 × 146.45
  4. Step 4: Simplify right side
    471.05x = 103,483.16
  5. Step 5: Solve for x
    x = 103,483.16/471.05
  6. Step 6: Final answer
    x = 219.69

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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.