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Finding the Fourth Proportional to 609.32, 840.90 and 360.76

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Solution

The fourth proportional to 609.32, 840.90 and 360.76 is: 497.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.32 : 840.90 = 360.76 : x
  2. Step 2: Convert to fraction form
    609.32/840.90 = 360.76/x
  3. Step 3: Cross multiply
    609.32x = 840.90 × 360.76
  4. Step 4: Simplify right side
    609.32x = 303,363.08
  5. Step 5: Solve for x
    x = 303,363.08/609.32
  6. Step 6: Final answer
    x = 497.87

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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.