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Finding the Fourth Proportional to 563.59, 845.43 and 152.72

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Solution

The fourth proportional to 563.59, 845.43 and 152.72 is: 229.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.59 : 845.43 = 152.72 : x
  2. Step 2: Convert to fraction form
    563.59/845.43 = 152.72/x
  3. Step 3: Cross multiply
    563.59x = 845.43 × 152.72
  4. Step 4: Simplify right side
    563.59x = 129,116.18
  5. Step 5: Solve for x
    x = 129,116.18/563.59
  6. Step 6: Final answer
    x = 229.10

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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.