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Finding the Fourth Proportional to 468.19, 646.26 and 320.56

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Solution

The fourth proportional to 468.19, 646.26 and 320.56 is: 442.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.19 : 646.26 = 320.56 : x
  2. Step 2: Convert to fraction form
    468.19/646.26 = 320.56/x
  3. Step 3: Cross multiply
    468.19x = 646.26 × 320.56
  4. Step 4: Simplify right side
    468.19x = 207,165.11
  5. Step 5: Solve for x
    x = 207,165.11/468.19
  6. Step 6: Final answer
    x = 442.48

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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.