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Finding the Fourth Proportional to 703.69, 971.49 and 467.96

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Solution

The fourth proportional to 703.69, 971.49 and 467.96 is: 646.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.69 : 971.49 = 467.96 : x
  2. Step 2: Convert to fraction form
    703.69/971.49 = 467.96/x
  3. Step 3: Cross multiply
    703.69x = 971.49 × 467.96
  4. Step 4: Simplify right side
    703.69x = 454,618.46
  5. Step 5: Solve for x
    x = 454,618.46/703.69
  6. Step 6: Final answer
    x = 646.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.