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Finding the Fourth Proportional to 464.73, 642.15 and 365.40

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Solution

The fourth proportional to 464.73, 642.15 and 365.40 is: 504.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.73 : 642.15 = 365.40 : x
  2. Step 2: Convert to fraction form
    464.73/642.15 = 365.40/x
  3. Step 3: Cross multiply
    464.73x = 642.15 × 365.40
  4. Step 4: Simplify right side
    464.73x = 234,641.61
  5. Step 5: Solve for x
    x = 234,641.61/464.73
  6. Step 6: Final answer
    x = 504.90

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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.