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Finding the Fourth Proportional to 582.92, 874.26 and 266.34

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Solution

The fourth proportional to 582.92, 874.26 and 266.34 is: 399.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.92 : 874.26 = 266.34 : x
  2. Step 2: Convert to fraction form
    582.92/874.26 = 266.34/x
  3. Step 3: Cross multiply
    582.92x = 874.26 × 266.34
  4. Step 4: Simplify right side
    582.92x = 232,851.25
  5. Step 5: Solve for x
    x = 232,851.25/582.92
  6. Step 6: Final answer
    x = 399.46

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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.