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Finding the Fourth Proportional to 563.79, 845.69 and 152.92

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Solution

The fourth proportional to 563.79, 845.69 and 152.92 is: 229.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.79 : 845.69 = 152.92 : x
  2. Step 2: Convert to fraction form
    563.79/845.69 = 152.92/x
  3. Step 3: Cross multiply
    563.79x = 845.69 × 152.92
  4. Step 4: Simplify right side
    563.79x = 129,322.91
  5. Step 5: Solve for x
    x = 129,322.91/563.79
  6. Step 6: Final answer
    x = 229.38

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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.