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Finding the Fourth Proportional to 465.16, 698.01 and 208.66

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Solution

The fourth proportional to 465.16, 698.01 and 208.66 is: 313.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.16 : 698.01 = 208.66 : x
  2. Step 2: Convert to fraction form
    465.16/698.01 = 208.66/x
  3. Step 3: Cross multiply
    465.16x = 698.01 × 208.66
  4. Step 4: Simplify right side
    465.16x = 145,643.98
  5. Step 5: Solve for x
    x = 145,643.98/465.16
  6. Step 6: Final answer
    x = 313.11

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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.