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Finding the Fourth Proportional to 498.92, 689.10 and 352.04

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Solution

The fourth proportional to 498.92, 689.10 and 352.04 is: 486.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.92 : 689.10 = 352.04 : x
  2. Step 2: Convert to fraction form
    498.92/689.10 = 352.04/x
  3. Step 3: Cross multiply
    498.92x = 689.10 × 352.04
  4. Step 4: Simplify right side
    498.92x = 242,590.76
  5. Step 5: Solve for x
    x = 242,590.76/498.92
  6. Step 6: Final answer
    x = 486.23

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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.