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Finding the Fourth Proportional to 582.90, 874.36 and 150.06

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Solution

The fourth proportional to 582.90, 874.36 and 150.06 is: 225.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.90 : 874.36 = 150.06 : x
  2. Step 2: Convert to fraction form
    582.90/874.36 = 150.06/x
  3. Step 3: Cross multiply
    582.90x = 874.36 × 150.06
  4. Step 4: Simplify right side
    582.90x = 131,206.46
  5. Step 5: Solve for x
    x = 131,206.46/582.90
  6. Step 6: Final answer
    x = 225.09

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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.