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Finding the Fourth Proportional to 587.82, 881.01 and 299.10

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Solution

The fourth proportional to 587.82, 881.01 and 299.10 is: 448.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.82 : 881.01 = 299.10 : x
  2. Step 2: Convert to fraction form
    587.82/881.01 = 299.10/x
  3. Step 3: Cross multiply
    587.82x = 881.01 × 299.10
  4. Step 4: Simplify right side
    587.82x = 263,510.09
  5. Step 5: Solve for x
    x = 263,510.09/587.82
  6. Step 6: Final answer
    x = 448.28

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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.