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Finding the Fourth Proportional to 563.88, 845.55 and 358.68

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Solution

The fourth proportional to 563.88, 845.55 and 358.68 is: 537.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.88 : 845.55 = 358.68 : x
  2. Step 2: Convert to fraction form
    563.88/845.55 = 358.68/x
  3. Step 3: Cross multiply
    563.88x = 845.55 × 358.68
  4. Step 4: Simplify right side
    563.88x = 303,281.87
  5. Step 5: Solve for x
    x = 303,281.87/563.88
  6. Step 6: Final answer
    x = 537.85

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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.