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Finding the Fourth Proportional to 498.07, 687.16 and 357.89

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Solution

The fourth proportional to 498.07, 687.16 and 357.89 is: 493.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.07 : 687.16 = 357.89 : x
  2. Step 2: Convert to fraction form
    498.07/687.16 = 357.89/x
  3. Step 3: Cross multiply
    498.07x = 687.16 × 357.89
  4. Step 4: Simplify right side
    498.07x = 245,929.50
  5. Step 5: Solve for x
    x = 245,929.50/498.07
  6. Step 6: Final answer
    x = 493.76

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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.