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Finding the Fourth Proportional to 582.91, 874.17 and 172.06

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Solution

The fourth proportional to 582.91, 874.17 and 172.06 is: 258.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.91 : 874.17 = 172.06 : x
  2. Step 2: Convert to fraction form
    582.91/874.17 = 172.06/x
  3. Step 3: Cross multiply
    582.91x = 874.17 × 172.06
  4. Step 4: Simplify right side
    582.91x = 150,407.50
  5. Step 5: Solve for x
    x = 150,407.50/582.91
  6. Step 6: Final answer
    x = 258.03

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1.5x scale

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.