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Finding the Fourth Proportional to 498.36, 689.03 and 436.85

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Solution

The fourth proportional to 498.36, 689.03 and 436.85 is: 603.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.36 : 689.03 = 436.85 : x
  2. Step 2: Convert to fraction form
    498.36/689.03 = 436.85/x
  3. Step 3: Cross multiply
    498.36x = 689.03 × 436.85
  4. Step 4: Simplify right side
    498.36x = 300,997.13
  5. Step 5: Solve for x
    x = 300,997.13/498.36
  6. Step 6: Final answer
    x = 603.98

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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.