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Finding the Fourth Proportional to 578.29, 798.03 and 354.15

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Solution

The fourth proportional to 578.29, 798.03 and 354.15 is: 488.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.29 : 798.03 = 354.15 : x
  2. Step 2: Convert to fraction form
    578.29/798.03 = 354.15/x
  3. Step 3: Cross multiply
    578.29x = 798.03 × 354.15
  4. Step 4: Simplify right side
    578.29x = 282,619.08
  5. Step 5: Solve for x
    x = 282,619.08/578.29
  6. Step 6: Final answer
    x = 488.72

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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.