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Finding the Fourth Proportional to 499.41, 749.10 and 384.57

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Solution

The fourth proportional to 499.41, 749.10 and 384.57 is: 576.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.41 : 749.10 = 384.57 : x
  2. Step 2: Convert to fraction form
    499.41/749.10 = 384.57/x
  3. Step 3: Cross multiply
    499.41x = 749.10 × 384.57
  4. Step 4: Simplify right side
    499.41x = 288,081.39
  5. Step 5: Solve for x
    x = 288,081.39/499.41
  6. Step 6: Final answer
    x = 576.84

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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.