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Finding the Fourth Proportional to 600.96, 829.17 and 352.25

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Solution

The fourth proportional to 600.96, 829.17 and 352.25 is: 486.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.96 : 829.17 = 352.25 : x
  2. Step 2: Convert to fraction form
    600.96/829.17 = 352.25/x
  3. Step 3: Cross multiply
    600.96x = 829.17 × 352.25
  4. Step 4: Simplify right side
    600.96x = 292,075.13
  5. Step 5: Solve for x
    x = 292,075.13/600.96
  6. Step 6: Final answer
    x = 486.01

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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.