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Finding the Fourth Proportional to 685.86, 946.13 and 420.20

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Solution

The fourth proportional to 685.86, 946.13 and 420.20 is: 579.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.86 : 946.13 = 420.20 : x
  2. Step 2: Convert to fraction form
    685.86/946.13 = 420.20/x
  3. Step 3: Cross multiply
    685.86x = 946.13 × 420.20
  4. Step 4: Simplify right side
    685.86x = 397,563.83
  5. Step 5: Solve for x
    x = 397,563.83/685.86
  6. Step 6: Final answer
    x = 579.66

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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.