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Finding the Fourth Proportional to 664.18, 917.05 and 467.95

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Solution

The fourth proportional to 664.18, 917.05 and 467.95 is: 646.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.18 : 917.05 = 467.95 : x
  2. Step 2: Convert to fraction form
    664.18/917.05 = 467.95/x
  3. Step 3: Cross multiply
    664.18x = 917.05 × 467.95
  4. Step 4: Simplify right side
    664.18x = 429,133.55
  5. Step 5: Solve for x
    x = 429,133.55/664.18
  6. Step 6: Final answer
    x = 646.11

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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.