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Finding the Fourth Proportional to 600.12, 829.53 and 507.36

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Solution

The fourth proportional to 600.12, 829.53 and 507.36 is: 701.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.12 : 829.53 = 507.36 : x
  2. Step 2: Convert to fraction form
    600.12/829.53 = 507.36/x
  3. Step 3: Cross multiply
    600.12x = 829.53 × 507.36
  4. Step 4: Simplify right side
    600.12x = 420,870.34
  5. Step 5: Solve for x
    x = 420,870.34/600.12
  6. Step 6: Final answer
    x = 701.31

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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.