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Finding the Fourth Proportional to 587.48, 880.62 and 340.38

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Solution

The fourth proportional to 587.48, 880.62 and 340.38 is: 510.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.48 : 880.62 = 340.38 : x
  2. Step 2: Convert to fraction form
    587.48/880.62 = 340.38/x
  3. Step 3: Cross multiply
    587.48x = 880.62 × 340.38
  4. Step 4: Simplify right side
    587.48x = 299,745.44
  5. Step 5: Solve for x
    x = 299,745.44/587.48
  6. Step 6: Final answer
    x = 510.22

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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.