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Finding the Fourth Proportional to 578.84, 798.81 and 346.10

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Solution

The fourth proportional to 578.84, 798.81 and 346.10 is: 477.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.84 : 798.81 = 346.10 : x
  2. Step 2: Convert to fraction form
    578.84/798.81 = 346.10/x
  3. Step 3: Cross multiply
    578.84x = 798.81 × 346.10
  4. Step 4: Simplify right side
    578.84x = 276,468.14
  5. Step 5: Solve for x
    x = 276,468.14/578.84
  6. Step 6: Final answer
    x = 477.62

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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.