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Finding the Fourth Proportional to 684.76, 945.75 and 463.33

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Solution

The fourth proportional to 684.76, 945.75 and 463.33 is: 639.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.76 : 945.75 = 463.33 : x
  2. Step 2: Convert to fraction form
    684.76/945.75 = 463.33/x
  3. Step 3: Cross multiply
    684.76x = 945.75 × 463.33
  4. Step 4: Simplify right side
    684.76x = 438,194.35
  5. Step 5: Solve for x
    x = 438,194.35/684.76
  6. Step 6: Final answer
    x = 639.92

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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.