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Finding the Fourth Proportional to 465.66, 642.12 and 308.46

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Solution

The fourth proportional to 465.66, 642.12 and 308.46 is: 425.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.66 : 642.12 = 308.46 : x
  2. Step 2: Convert to fraction form
    465.66/642.12 = 308.46/x
  3. Step 3: Cross multiply
    465.66x = 642.12 × 308.46
  4. Step 4: Simplify right side
    465.66x = 198,068.34
  5. Step 5: Solve for x
    x = 198,068.34/465.66
  6. Step 6: Final answer
    x = 425.35

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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.