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Finding the Fourth Proportional to 684.32, 944.53 and 469.26

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Solution

The fourth proportional to 684.32, 944.53 and 469.26 is: 647.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.32 : 944.53 = 469.26 : x
  2. Step 2: Convert to fraction form
    684.32/944.53 = 469.26/x
  3. Step 3: Cross multiply
    684.32x = 944.53 × 469.26
  4. Step 4: Simplify right side
    684.32x = 443,228.97
  5. Step 5: Solve for x
    x = 443,228.97/684.32
  6. Step 6: Final answer
    x = 647.70

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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.