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Finding the Fourth Proportional to 563.07, 844.60 and 152.25

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Solution

The fourth proportional to 563.07, 844.60 and 152.25 is: 228.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.07 : 844.60 = 152.25 : x
  2. Step 2: Convert to fraction form
    563.07/844.60 = 152.25/x
  3. Step 3: Cross multiply
    563.07x = 844.60 × 152.25
  4. Step 4: Simplify right side
    563.07x = 128,586.13
  5. Step 5: Solve for x
    x = 128,586.13/563.07
  6. Step 6: Final answer
    x = 228.37

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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.