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Finding the Fourth Proportional to 466.09, 642.94 and 291.53

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Solution

The fourth proportional to 466.09, 642.94 and 291.53 is: 402.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.09 : 642.94 = 291.53 : x
  2. Step 2: Convert to fraction form
    466.09/642.94 = 291.53/x
  3. Step 3: Cross multiply
    466.09x = 642.94 × 291.53
  4. Step 4: Simplify right side
    466.09x = 187,437.18
  5. Step 5: Solve for x
    x = 187,437.18/466.09
  6. Step 6: Final answer
    x = 402.15

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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.