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Finding the Fourth Proportional to 600.76, 828.92 and 352.07

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Solution

The fourth proportional to 600.76, 828.92 and 352.07 is: 485.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.76 : 828.92 = 352.07 : x
  2. Step 2: Convert to fraction form
    600.76/828.92 = 352.07/x
  3. Step 3: Cross multiply
    600.76x = 828.92 × 352.07
  4. Step 4: Simplify right side
    600.76x = 291,837.86
  5. Step 5: Solve for x
    x = 291,837.86/600.76
  6. Step 6: Final answer
    x = 485.78

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Find fourth proportional to 300.38, 414.46 and 176.04
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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.