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Finding the Fourth Proportional to 470.27, 704.58 and 373.88

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Solution

The fourth proportional to 470.27, 704.58 and 373.88 is: 560.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.27 : 704.58 = 373.88 : x
  2. Step 2: Convert to fraction form
    470.27/704.58 = 373.88/x
  3. Step 3: Cross multiply
    470.27x = 704.58 × 373.88
  4. Step 4: Simplify right side
    470.27x = 263,428.37
  5. Step 5: Solve for x
    x = 263,428.37/470.27
  6. Step 6: Final answer
    x = 560.16

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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.