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Finding the Fourth Proportional to 465.74, 642.66 and 291.02

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Solution

The fourth proportional to 465.74, 642.66 and 291.02 is: 401.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.74 : 642.66 = 291.02 : x
  2. Step 2: Convert to fraction form
    465.74/642.66 = 291.02/x
  3. Step 3: Cross multiply
    465.74x = 642.66 × 291.02
  4. Step 4: Simplify right side
    465.74x = 187,026.91
  5. Step 5: Solve for x
    x = 187,026.91/465.74
  6. Step 6: Final answer
    x = 401.57

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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.