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Finding the Fourth Proportional to 685.29, 945.69 and 386.52

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Solution

The fourth proportional to 685.29, 945.69 and 386.52 is: 533.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.29 : 945.69 = 386.52 : x
  2. Step 2: Convert to fraction form
    685.29/945.69 = 386.52/x
  3. Step 3: Cross multiply
    685.29x = 945.69 × 386.52
  4. Step 4: Simplify right side
    685.29x = 365,528.10
  5. Step 5: Solve for x
    x = 365,528.10/685.29
  6. Step 6: Final answer
    x = 533.39

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Half scale
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Double scale
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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.