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Finding the Fourth Proportional to 600.87, 829.27 and 352.20

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Solution

The fourth proportional to 600.87, 829.27 and 352.20 is: 486.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.87 : 829.27 = 352.20 : x
  2. Step 2: Convert to fraction form
    600.87/829.27 = 352.20/x
  3. Step 3: Cross multiply
    600.87x = 829.27 × 352.20
  4. Step 4: Simplify right side
    600.87x = 292,068.89
  5. Step 5: Solve for x
    x = 292,068.89/600.87
  6. Step 6: Final answer
    x = 486.08

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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.