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Finding the Fourth Proportional to 582.93, 874.10 and 172.02

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Solution

The fourth proportional to 582.93, 874.10 and 172.02 is: 257.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.93 : 874.10 = 172.02 : x
  2. Step 2: Convert to fraction form
    582.93/874.10 = 172.02/x
  3. Step 3: Cross multiply
    582.93x = 874.10 × 172.02
  4. Step 4: Simplify right side
    582.93x = 150,361.15
  5. Step 5: Solve for x
    x = 150,361.15/582.93
  6. Step 6: Final answer
    x = 257.94

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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.