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Finding the Fourth Proportional to 498.64, 688.06 and 277.55

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Solution

The fourth proportional to 498.64, 688.06 and 277.55 is: 382.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.64 : 688.06 = 277.55 : x
  2. Step 2: Convert to fraction form
    498.64/688.06 = 277.55/x
  3. Step 3: Cross multiply
    498.64x = 688.06 × 277.55
  4. Step 4: Simplify right side
    498.64x = 190,971.05
  5. Step 5: Solve for x
    x = 190,971.05/498.64
  6. Step 6: Final answer
    x = 382.98

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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.