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Finding the Fourth Proportional to 578.06, 797.38 and 356.93

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Solution

The fourth proportional to 578.06, 797.38 and 356.93 is: 492.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.06 : 797.38 = 356.93 : x
  2. Step 2: Convert to fraction form
    578.06/797.38 = 356.93/x
  3. Step 3: Cross multiply
    578.06x = 797.38 × 356.93
  4. Step 4: Simplify right side
    578.06x = 284,603.96
  5. Step 5: Solve for x
    x = 284,603.96/578.06
  6. Step 6: Final answer
    x = 492.35

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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.