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Finding the Fourth Proportional to 609.49, 842.30 and 498.79

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Solution

The fourth proportional to 609.49, 842.30 and 498.79 is: 689.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.49 : 842.30 = 498.79 : x
  2. Step 2: Convert to fraction form
    609.49/842.30 = 498.79/x
  3. Step 3: Cross multiply
    609.49x = 842.30 × 498.79
  4. Step 4: Simplify right side
    609.49x = 420,130.82
  5. Step 5: Solve for x
    x = 420,130.82/609.49
  6. Step 6: Final answer
    x = 689.32

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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.