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Finding the Fourth Proportional to 600.64, 829.10 and 379.74

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Solution

The fourth proportional to 600.64, 829.10 and 379.74 is: 524.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.64 : 829.10 = 379.74 : x
  2. Step 2: Convert to fraction form
    600.64/829.10 = 379.74/x
  3. Step 3: Cross multiply
    600.64x = 829.10 × 379.74
  4. Step 4: Simplify right side
    600.64x = 314,842.43
  5. Step 5: Solve for x
    x = 314,842.43/600.64
  6. Step 6: Final answer
    x = 524.18

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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.