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Finding the Fourth Proportional to 642.30, 963.24 and 313.05

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Solution

The fourth proportional to 642.30, 963.24 and 313.05 is: 469.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.30 : 963.24 = 313.05 : x
  2. Step 2: Convert to fraction form
    642.30/963.24 = 313.05/x
  3. Step 3: Cross multiply
    642.30x = 963.24 × 313.05
  4. Step 4: Simplify right side
    642.30x = 301,542.28
  5. Step 5: Solve for x
    x = 301,542.28/642.30
  6. Step 6: Final answer
    x = 469.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.