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Finding the Fourth Proportional to 664.90, 917.85 and 468.70

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Solution

The fourth proportional to 664.90, 917.85 and 468.70 is: 647.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.90 : 917.85 = 468.70 : x
  2. Step 2: Convert to fraction form
    664.90/917.85 = 468.70/x
  3. Step 3: Cross multiply
    664.90x = 917.85 × 468.70
  4. Step 4: Simplify right side
    664.90x = 430,196.30
  5. Step 5: Solve for x
    x = 430,196.30/664.90
  6. Step 6: Final answer
    x = 647.01

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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.