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Finding the Fourth Proportional to 465.66, 642.68 and 290.91

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Solution

The fourth proportional to 465.66, 642.68 and 290.91 is: 401.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.66 : 642.68 = 290.91 : x
  2. Step 2: Convert to fraction form
    465.66/642.68 = 290.91/x
  3. Step 3: Cross multiply
    465.66x = 642.68 × 290.91
  4. Step 4: Simplify right side
    465.66x = 186,960.58
  5. Step 5: Solve for x
    x = 186,960.58/465.66
  6. Step 6: Final answer
    x = 401.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.