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Finding the Fourth Proportional to 498.34, 687.54 and 288.46

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Solution

The fourth proportional to 498.34, 687.54 and 288.46 is: 397.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.34 : 687.54 = 288.46 : x
  2. Step 2: Convert to fraction form
    498.34/687.54 = 288.46/x
  3. Step 3: Cross multiply
    498.34x = 687.54 × 288.46
  4. Step 4: Simplify right side
    498.34x = 198,327.79
  5. Step 5: Solve for x
    x = 198,327.79/498.34
  6. Step 6: Final answer
    x = 397.98

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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.