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Finding the Fourth Proportional to 611.22, 917.10 and 286.86

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Solution

The fourth proportional to 611.22, 917.10 and 286.86 is: 430.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.22 : 917.10 = 286.86 : x
  2. Step 2: Convert to fraction form
    611.22/917.10 = 286.86/x
  3. Step 3: Cross multiply
    611.22x = 917.10 × 286.86
  4. Step 4: Simplify right side
    611.22x = 263,079.31
  5. Step 5: Solve for x
    x = 263,079.31/611.22
  6. Step 6: Final answer
    x = 430.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.