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Finding the Fourth Proportional to 499.76, 749.16 and 384.02

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Solution

The fourth proportional to 499.76, 749.16 and 384.02 is: 575.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.76 : 749.16 = 384.02 : x
  2. Step 2: Convert to fraction form
    499.76/749.16 = 384.02/x
  3. Step 3: Cross multiply
    499.76x = 749.16 × 384.02
  4. Step 4: Simplify right side
    499.76x = 287,692.42
  5. Step 5: Solve for x
    x = 287,692.42/499.76
  6. Step 6: Final answer
    x = 575.66

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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.