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Finding the Fourth Proportional to 470.62, 704.71 and 377.64

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Solution

The fourth proportional to 470.62, 704.71 and 377.64 is: 565.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.62 : 704.71 = 377.64 : x
  2. Step 2: Convert to fraction form
    470.62/704.71 = 377.64/x
  3. Step 3: Cross multiply
    470.62x = 704.71 × 377.64
  4. Step 4: Simplify right side
    470.62x = 266,125.74
  5. Step 5: Solve for x
    x = 266,125.74/470.62
  6. Step 6: Final answer
    x = 565.48

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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.