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Finding the Fourth Proportional to 563.59, 846.17 and 289.88

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Solution

The fourth proportional to 563.59, 846.17 and 289.88 is: 435.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.59 : 846.17 = 289.88 : x
  2. Step 2: Convert to fraction form
    563.59/846.17 = 289.88/x
  3. Step 3: Cross multiply
    563.59x = 846.17 × 289.88
  4. Step 4: Simplify right side
    563.59x = 245,287.76
  5. Step 5: Solve for x
    x = 245,287.76/563.59
  6. Step 6: Final answer
    x = 435.22

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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.