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Finding the Fourth Proportional to 685.24, 945.59 and 390.46

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Solution

The fourth proportional to 685.24, 945.59 and 390.46 is: 538.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.24 : 945.59 = 390.46 : x
  2. Step 2: Convert to fraction form
    685.24/945.59 = 390.46/x
  3. Step 3: Cross multiply
    685.24x = 945.59 × 390.46
  4. Step 4: Simplify right side
    685.24x = 369,215.07
  5. Step 5: Solve for x
    x = 369,215.07/685.24
  6. Step 6: Final answer
    x = 538.81

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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.