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Finding the Fourth Proportional to 440.88, 656.66 and 417.75

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Solution

The fourth proportional to 440.88, 656.66 and 417.75 is: 622.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.88 : 656.66 = 417.75 : x
  2. Step 2: Convert to fraction form
    440.88/656.66 = 417.75/x
  3. Step 3: Cross multiply
    440.88x = 656.66 × 417.75
  4. Step 4: Simplify right side
    440.88x = 274,314.34
  5. Step 5: Solve for x
    x = 274,314.34/440.88
  6. Step 6: Final answer
    x = 622.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.