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Finding the Fourth Proportional to 685.23, 945.47 and 405.47

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Solution

The fourth proportional to 685.23, 945.47 and 405.47 is: 559.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.23 : 945.47 = 405.47 : x
  2. Step 2: Convert to fraction form
    685.23/945.47 = 405.47/x
  3. Step 3: Cross multiply
    685.23x = 945.47 × 405.47
  4. Step 4: Simplify right side
    685.23x = 383,352.97
  5. Step 5: Solve for x
    x = 383,352.97/685.23
  6. Step 6: Final answer
    x = 559.45

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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.