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Finding the Fourth Proportional to 600.29, 828.99 and 414.26

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Solution

The fourth proportional to 600.29, 828.99 and 414.26 is: 572.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.29 : 828.99 = 414.26 : x
  2. Step 2: Convert to fraction form
    600.29/828.99 = 414.26/x
  3. Step 3: Cross multiply
    600.29x = 828.99 × 414.26
  4. Step 4: Simplify right side
    600.29x = 343,411.18
  5. Step 5: Solve for x
    x = 343,411.18/600.29
  6. Step 6: Final answer
    x = 572.08

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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.