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Finding the Fourth Proportional to 498.88, 689.10 and 429.64

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Solution

The fourth proportional to 498.88, 689.10 and 429.64 is: 593.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.88 : 689.10 = 429.64 : x
  2. Step 2: Convert to fraction form
    498.88/689.10 = 429.64/x
  3. Step 3: Cross multiply
    498.88x = 689.10 × 429.64
  4. Step 4: Simplify right side
    498.88x = 296,064.92
  5. Step 5: Solve for x
    x = 296,064.92/498.88
  6. Step 6: Final answer
    x = 593.46

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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.