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Finding the Fourth Proportional to 468.66, 647.25 and 364.99

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Solution

The fourth proportional to 468.66, 647.25 and 364.99 is: 504.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.66 : 647.25 = 364.99 : x
  2. Step 2: Convert to fraction form
    468.66/647.25 = 364.99/x
  3. Step 3: Cross multiply
    468.66x = 647.25 × 364.99
  4. Step 4: Simplify right side
    468.66x = 236,239.78
  5. Step 5: Solve for x
    x = 236,239.78/468.66
  6. Step 6: Final answer
    x = 504.07

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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.