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Finding the Fourth Proportional to 499.66, 750.02 and 442.25

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Solution

The fourth proportional to 499.66, 750.02 and 442.25 is: 663.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.66 : 750.02 = 442.25 : x
  2. Step 2: Convert to fraction form
    499.66/750.02 = 442.25/x
  3. Step 3: Cross multiply
    499.66x = 750.02 × 442.25
  4. Step 4: Simplify right side
    499.66x = 331,690.38
  5. Step 5: Solve for x
    x = 331,690.38/499.66
  6. Step 6: Final answer
    x = 663.84

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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.