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Finding the Fourth Proportional to 465.84, 643.08 and 291.44

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Solution

The fourth proportional to 465.84, 643.08 and 291.44 is: 402.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.84 : 643.08 = 291.44 : x
  2. Step 2: Convert to fraction form
    465.84/643.08 = 291.44/x
  3. Step 3: Cross multiply
    465.84x = 643.08 × 291.44
  4. Step 4: Simplify right side
    465.84x = 187,419.24
  5. Step 5: Solve for x
    x = 187,419.24/465.84
  6. Step 6: Final answer
    x = 402.33

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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.