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Finding the Fourth Proportional to 600.74, 829.24 and 414.28

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Solution

The fourth proportional to 600.74, 829.24 and 414.28 is: 571.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.74 : 829.24 = 414.28 : x
  2. Step 2: Convert to fraction form
    600.74/829.24 = 414.28/x
  3. Step 3: Cross multiply
    600.74x = 829.24 × 414.28
  4. Step 4: Simplify right side
    600.74x = 343,534.05
  5. Step 5: Solve for x
    x = 343,534.05/600.74
  6. Step 6: Final answer
    x = 571.85

Related Problems

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1.5x scale

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.