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Finding the Fourth Proportional to 498.82, 689.19 and 436.72

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Solution

The fourth proportional to 498.82, 689.19 and 436.72 is: 603.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.82 : 689.19 = 436.72 : x
  2. Step 2: Convert to fraction form
    498.82/689.19 = 436.72/x
  3. Step 3: Cross multiply
    498.82x = 689.19 × 436.72
  4. Step 4: Simplify right side
    498.82x = 300,983.06
  5. Step 5: Solve for x
    x = 300,983.06/498.82
  6. Step 6: Final answer
    x = 603.39

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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.