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Finding the Fourth Proportional to 465.93, 643.02 and 288.99

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Solution

The fourth proportional to 465.93, 643.02 and 288.99 is: 398.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.93 : 643.02 = 288.99 : x
  2. Step 2: Convert to fraction form
    465.93/643.02 = 288.99/x
  3. Step 3: Cross multiply
    465.93x = 643.02 × 288.99
  4. Step 4: Simplify right side
    465.93x = 185,826.35
  5. Step 5: Solve for x
    x = 185,826.35/465.93
  6. Step 6: Final answer
    x = 398.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.