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Finding the Fourth Proportional to 710.41, 1,066.29 and 299.44

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Solution

The fourth proportional to 710.41, 1,066.29 and 299.44 is: 449.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.41 : 1,066.29 = 299.44 : x
  2. Step 2: Convert to fraction form
    710.41/1,066.29 = 299.44/x
  3. Step 3: Cross multiply
    710.41x = 1,066.29 × 299.44
  4. Step 4: Simplify right side
    710.41x = 319,289.88
  5. Step 5: Solve for x
    x = 319,289.88/710.41
  6. Step 6: Final answer
    x = 449.44

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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.