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Finding the Fourth Proportional to 582.20, 873.30 and 149.35

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Solution

The fourth proportional to 582.20, 873.30 and 149.35 is: 224.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.20 : 873.30 = 149.35 : x
  2. Step 2: Convert to fraction form
    582.20/873.30 = 149.35/x
  3. Step 3: Cross multiply
    582.20x = 873.30 × 149.35
  4. Step 4: Simplify right side
    582.20x = 130,427.36
  5. Step 5: Solve for x
    x = 130,427.36/582.20
  6. Step 6: Final answer
    x = 224.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.