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Finding the Fourth Proportional to 685.47, 945.79 and 405.66

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Solution

The fourth proportional to 685.47, 945.79 and 405.66 is: 559.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.47 : 945.79 = 405.66 : x
  2. Step 2: Convert to fraction form
    685.47/945.79 = 405.66/x
  3. Step 3: Cross multiply
    685.47x = 945.79 × 405.66
  4. Step 4: Simplify right side
    685.47x = 383,669.17
  5. Step 5: Solve for x
    x = 383,669.17/685.47
  6. Step 6: Final answer
    x = 559.72

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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.