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Finding the Fourth Proportional to 685.40, 945.57 and 390.60

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Solution

The fourth proportional to 685.40, 945.57 and 390.60 is: 538.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.40 : 945.57 = 390.60 : x
  2. Step 2: Convert to fraction form
    685.40/945.57 = 390.60/x
  3. Step 3: Cross multiply
    685.40x = 945.57 × 390.60
  4. Step 4: Simplify right side
    685.40x = 369,339.64
  5. Step 5: Solve for x
    x = 369,339.64/685.40
  6. Step 6: Final answer
    x = 538.87

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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.