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Finding the Fourth Proportional to 600.92, 828.53 and 435.07

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Solution

The fourth proportional to 600.92, 828.53 and 435.07 is: 599.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.92 : 828.53 = 435.07 : x
  2. Step 2: Convert to fraction form
    600.92/828.53 = 435.07/x
  3. Step 3: Cross multiply
    600.92x = 828.53 × 435.07
  4. Step 4: Simplify right side
    600.92x = 360,468.55
  5. Step 5: Solve for x
    x = 360,468.55/600.92
  6. Step 6: Final answer
    x = 599.86

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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.