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Finding the Fourth Proportional to 607.38, 837.90 and 408.24

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Solution

The fourth proportional to 607.38, 837.90 and 408.24 is: 563.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.38 : 837.90 = 408.24 : x
  2. Step 2: Convert to fraction form
    607.38/837.90 = 408.24/x
  3. Step 3: Cross multiply
    607.38x = 837.90 × 408.24
  4. Step 4: Simplify right side
    607.38x = 342,064.30
  5. Step 5: Solve for x
    x = 342,064.30/607.38
  6. Step 6: Final answer
    x = 563.18

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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.