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Finding the Fourth Proportional to 587.47, 880.30 and 299.11

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Solution

The fourth proportional to 587.47, 880.30 and 299.11 is: 448.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.47 : 880.30 = 299.11 : x
  2. Step 2: Convert to fraction form
    587.47/880.30 = 299.11/x
  3. Step 3: Cross multiply
    587.47x = 880.30 × 299.11
  4. Step 4: Simplify right side
    587.47x = 263,306.53
  5. Step 5: Solve for x
    x = 263,306.53/587.47
  6. Step 6: Final answer
    x = 448.20

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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.