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Finding the Fourth Proportional to 685.12, 945.51 and 405.35

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Solution

The fourth proportional to 685.12, 945.51 and 405.35 is: 559.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.12 : 945.51 = 405.35 : x
  2. Step 2: Convert to fraction form
    685.12/945.51 = 405.35/x
  3. Step 3: Cross multiply
    685.12x = 945.51 × 405.35
  4. Step 4: Simplify right side
    685.12x = 383,262.48
  5. Step 5: Solve for x
    x = 383,262.48/685.12
  6. Step 6: Final answer
    x = 559.41

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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.