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Finding the Fourth Proportional to 469.21, 646.90 and 394.81

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Solution

The fourth proportional to 469.21, 646.90 and 394.81 is: 544.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.21 : 646.90 = 394.81 : x
  2. Step 2: Convert to fraction form
    469.21/646.90 = 394.81/x
  3. Step 3: Cross multiply
    469.21x = 646.90 × 394.81
  4. Step 4: Simplify right side
    469.21x = 255,402.59
  5. Step 5: Solve for x
    x = 255,402.59/469.21
  6. Step 6: Final answer
    x = 544.32

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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.