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Finding the Fourth Proportional to 471.64, 707.60 and 147.03

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Solution

The fourth proportional to 471.64, 707.60 and 147.03 is: 220.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.64 : 707.60 = 147.03 : x
  2. Step 2: Convert to fraction form
    471.64/707.60 = 147.03/x
  3. Step 3: Cross multiply
    471.64x = 707.60 × 147.03
  4. Step 4: Simplify right side
    471.64x = 104,038.43
  5. Step 5: Solve for x
    x = 104,038.43/471.64
  6. Step 6: Final answer
    x = 220.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.