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Finding the Fourth Proportional to 685.32, 945.57 and 419.91

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Solution

The fourth proportional to 685.32, 945.57 and 419.91 is: 579.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.32 : 945.57 = 419.91 : x
  2. Step 2: Convert to fraction form
    685.32/945.57 = 419.91/x
  3. Step 3: Cross multiply
    685.32x = 945.57 × 419.91
  4. Step 4: Simplify right side
    685.32x = 397,054.30
  5. Step 5: Solve for x
    x = 397,054.30/685.32
  6. Step 6: Final answer
    x = 579.37

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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.