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Finding the Fourth Proportional to 699.22, 1,048.28 and 333.77

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Solution

The fourth proportional to 699.22, 1,048.28 and 333.77 is: 500.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.22 : 1,048.28 = 333.77 : x
  2. Step 2: Convert to fraction form
    699.22/1,048.28 = 333.77/x
  3. Step 3: Cross multiply
    699.22x = 1,048.28 × 333.77
  4. Step 4: Simplify right side
    699.22x = 349,884.42
  5. Step 5: Solve for x
    x = 349,884.42/699.22
  6. Step 6: Final answer
    x = 500.40

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