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Finding the Fourth Proportional to 578.92, 799.16 and 346

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Solution

The fourth proportional to 578.92, 799.16 and 346 is: 477.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.92 : 799.16 = 346 : x
  2. Step 2: Convert to fraction form
    578.92/799.16 = 346/x
  3. Step 3: Cross multiply
    578.92x = 799.16 × 346
  4. Step 4: Simplify right side
    578.92x = 276,509.36
  5. Step 5: Solve for x
    x = 276,509.36/578.92
  6. Step 6: Final answer
    x = 477.63

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Why These Related Problems?

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