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Finding the Fourth Proportional to 465.58, 642.86 and 326.04

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Solution

The fourth proportional to 465.58, 642.86 and 326.04 is: 450.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.58 : 642.86 = 326.04 : x
  2. Step 2: Convert to fraction form
    465.58/642.86 = 326.04/x
  3. Step 3: Cross multiply
    465.58x = 642.86 × 326.04
  4. Step 4: Simplify right side
    465.58x = 209,598.07
  5. Step 5: Solve for x
    x = 209,598.07/465.58
  6. Step 6: Final answer
    x = 450.19

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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.