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Finding the Fourth Proportional to 642.45, 963.06 and 313.18

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Solution

The fourth proportional to 642.45, 963.06 and 313.18 is: 469.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.45 : 963.06 = 313.18 : x
  2. Step 2: Convert to fraction form
    642.45/963.06 = 313.18/x
  3. Step 3: Cross multiply
    642.45x = 963.06 × 313.18
  4. Step 4: Simplify right side
    642.45x = 301,611.13
  5. Step 5: Solve for x
    x = 301,611.13/642.45
  6. Step 6: Final answer
    x = 469.47

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