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Finding the Fourth Proportional to 563.99, 845.98 and 289.93

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Solution

The fourth proportional to 563.99, 845.98 and 289.93 is: 434.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.99 : 845.98 = 289.93 : x
  2. Step 2: Convert to fraction form
    563.99/845.98 = 289.93/x
  3. Step 3: Cross multiply
    563.99x = 845.98 × 289.93
  4. Step 4: Simplify right side
    563.99x = 245,274.95
  5. Step 5: Solve for x
    x = 245,274.95/563.99
  6. Step 6: Final answer
    x = 434.89

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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.