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Finding the Fourth Proportional to 498.84, 749.10 and 375.45

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Solution

The fourth proportional to 498.84, 749.10 and 375.45 is: 563.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.84 : 749.10 = 375.45 : x
  2. Step 2: Convert to fraction form
    498.84/749.10 = 375.45/x
  3. Step 3: Cross multiply
    498.84x = 749.10 × 375.45
  4. Step 4: Simplify right side
    498.84x = 281,249.60
  5. Step 5: Solve for x
    x = 281,249.60/498.84
  6. Step 6: Final answer
    x = 563.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.