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Finding the Fourth Proportional to 563.78, 845.72 and 152.92

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Solution

The fourth proportional to 563.78, 845.72 and 152.92 is: 229.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.78 : 845.72 = 152.92 : x
  2. Step 2: Convert to fraction form
    563.78/845.72 = 152.92/x
  3. Step 3: Cross multiply
    563.78x = 845.72 × 152.92
  4. Step 4: Simplify right side
    563.78x = 129,322.51
  5. Step 5: Solve for x
    x = 129,322.51/563.78
  6. Step 6: Final answer
    x = 229.39

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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.