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Finding the Fourth Proportional to 537.78, 741.51 and 498.90

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Solution

The fourth proportional to 537.78, 741.51 and 498.90 is: 687.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.78 : 741.51 = 498.90 : x
  2. Step 2: Convert to fraction form
    537.78/741.51 = 498.90/x
  3. Step 3: Cross multiply
    537.78x = 741.51 × 498.90
  4. Step 4: Simplify right side
    537.78x = 369,939.34
  5. Step 5: Solve for x
    x = 369,939.34/537.78
  6. Step 6: Final answer
    x = 687.90

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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.