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Finding the Fourth Proportional to 465.19, 642.66 and 325.77

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Solution

The fourth proportional to 465.19, 642.66 and 325.77 is: 450.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.19 : 642.66 = 325.77 : x
  2. Step 2: Convert to fraction form
    465.19/642.66 = 325.77/x
  3. Step 3: Cross multiply
    465.19x = 642.66 × 325.77
  4. Step 4: Simplify right side
    465.19x = 209,360.25
  5. Step 5: Solve for x
    x = 209,360.25/465.19
  6. Step 6: Final answer
    x = 450.05

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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.