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Finding the Fourth Proportional to 685.16, 945.49 and 386.42

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Solution

The fourth proportional to 685.16, 945.49 and 386.42 is: 533.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.16 : 945.49 = 386.42 : x
  2. Step 2: Convert to fraction form
    685.16/945.49 = 386.42/x
  3. Step 3: Cross multiply
    685.16x = 945.49 × 386.42
  4. Step 4: Simplify right side
    685.16x = 365,356.25
  5. Step 5: Solve for x
    x = 365,356.25/685.16
  6. Step 6: Final answer
    x = 533.24

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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.