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Finding the Fourth Proportional to 632.30, 946.02 and 470.71

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Solution

The fourth proportional to 632.30, 946.02 and 470.71 is: 704.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.30 : 946.02 = 470.71 : x
  2. Step 2: Convert to fraction form
    632.30/946.02 = 470.71/x
  3. Step 3: Cross multiply
    632.30x = 946.02 × 470.71
  4. Step 4: Simplify right side
    632.30x = 445,296.34
  5. Step 5: Solve for x
    x = 445,296.34/632.30
  6. Step 6: Final answer
    x = 704.25

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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.