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Finding the Fourth Proportional to 600.67, 828.17 and 414.16

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Solution

The fourth proportional to 600.67, 828.17 and 414.16 is: 571.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.67 : 828.17 = 414.16 : x
  2. Step 2: Convert to fraction form
    600.67/828.17 = 414.16/x
  3. Step 3: Cross multiply
    600.67x = 828.17 × 414.16
  4. Step 4: Simplify right side
    600.67x = 342,999.29
  5. Step 5: Solve for x
    x = 342,999.29/600.67
  6. Step 6: Final answer
    x = 571.03

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.