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Finding the Fourth Proportional to 465.74, 642.90 and 416.53

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Solution

The fourth proportional to 465.74, 642.90 and 416.53 is: 574.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.74 : 642.90 = 416.53 : x
  2. Step 2: Convert to fraction form
    465.74/642.90 = 416.53/x
  3. Step 3: Cross multiply
    465.74x = 642.90 × 416.53
  4. Step 4: Simplify right side
    465.74x = 267,787.14
  5. Step 5: Solve for x
    x = 267,787.14/465.74
  6. Step 6: Final answer
    x = 574.97

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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.