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Finding the Fourth Proportional to 685.32, 945.78 and 405.72

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Solution

The fourth proportional to 685.32, 945.78 and 405.72 is: 559.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.32 : 945.78 = 405.72 : x
  2. Step 2: Convert to fraction form
    685.32/945.78 = 405.72/x
  3. Step 3: Cross multiply
    685.32x = 945.78 × 405.72
  4. Step 4: Simplify right side
    685.32x = 383,721.86
  5. Step 5: Solve for x
    x = 383,721.86/685.32
  6. Step 6: Final answer
    x = 559.92

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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.