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Finding the Fourth Proportional to 685.51, 946.20 and 390.82

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Solution

The fourth proportional to 685.51, 946.20 and 390.82 is: 539.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.51 : 946.20 = 390.82 : x
  2. Step 2: Convert to fraction form
    685.51/946.20 = 390.82/x
  3. Step 3: Cross multiply
    685.51x = 946.20 × 390.82
  4. Step 4: Simplify right side
    685.51x = 369,793.88
  5. Step 5: Solve for x
    x = 369,793.88/685.51
  6. Step 6: Final answer
    x = 539.44

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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.