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Finding the Fourth Proportional to 498.79, 688.32 and 277.74

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Solution

The fourth proportional to 498.79, 688.32 and 277.74 is: 383.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.79 : 688.32 = 277.74 : x
  2. Step 2: Convert to fraction form
    498.79/688.32 = 277.74/x
  3. Step 3: Cross multiply
    498.79x = 688.32 × 277.74
  4. Step 4: Simplify right side
    498.79x = 191,174.00
  5. Step 5: Solve for x
    x = 191,174.00/498.79
  6. Step 6: Final answer
    x = 383.28

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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.