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Finding the Fourth Proportional to 499.69, 749.54 and 283.42

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Solution

The fourth proportional to 499.69, 749.54 and 283.42 is: 425.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.69 : 749.54 = 283.42 : x
  2. Step 2: Convert to fraction form
    499.69/749.54 = 283.42/x
  3. Step 3: Cross multiply
    499.69x = 749.54 × 283.42
  4. Step 4: Simplify right side
    499.69x = 212,434.63
  5. Step 5: Solve for x
    x = 212,434.63/499.69
  6. Step 6: Final answer
    x = 425.13

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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.