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Finding the Fourth Proportional to 600.69, 828.87 and 414.66

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Solution

The fourth proportional to 600.69, 828.87 and 414.66 is: 572.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.69 : 828.87 = 414.66 : x
  2. Step 2: Convert to fraction form
    600.69/828.87 = 414.66/x
  3. Step 3: Cross multiply
    600.69x = 828.87 × 414.66
  4. Step 4: Simplify right side
    600.69x = 343,699.23
  5. Step 5: Solve for x
    x = 343,699.23/600.69
  6. Step 6: Final answer
    x = 572.17

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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.