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Finding the Fourth Proportional to 468.84, 646.80 and 294.12

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Solution

The fourth proportional to 468.84, 646.80 and 294.12 is: 405.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.84 : 646.80 = 294.12 : x
  2. Step 2: Convert to fraction form
    468.84/646.80 = 294.12/x
  3. Step 3: Cross multiply
    468.84x = 646.80 × 294.12
  4. Step 4: Simplify right side
    468.84x = 190,236.82
  5. Step 5: Solve for x
    x = 190,236.82/468.84
  6. Step 6: Final answer
    x = 405.76

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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.