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Finding the Fourth Proportional to 685.61, 945.71 and 449.58

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Solution

The fourth proportional to 685.61, 945.71 and 449.58 is: 620.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.61 : 945.71 = 449.58 : x
  2. Step 2: Convert to fraction form
    685.61/945.71 = 449.58/x
  3. Step 3: Cross multiply
    685.61x = 945.71 × 449.58
  4. Step 4: Simplify right side
    685.61x = 425,168.47
  5. Step 5: Solve for x
    x = 425,168.47/685.61
  6. Step 6: Final answer
    x = 620.13

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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.