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Finding the Fourth Proportional to 646.80, 970.18 and 235.96

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Solution

The fourth proportional to 646.80, 970.18 and 235.96 is: 353.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.80 : 970.18 = 235.96 : x
  2. Step 2: Convert to fraction form
    646.80/970.18 = 235.96/x
  3. Step 3: Cross multiply
    646.80x = 970.18 × 235.96
  4. Step 4: Simplify right side
    646.80x = 228,923.67
  5. Step 5: Solve for x
    x = 228,923.67/646.80
  6. Step 6: Final answer
    x = 353.93

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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.