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Finding the Fourth Proportional to 588.51, 883.98 and 563.67

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Solution

The fourth proportional to 588.51, 883.98 and 563.67 is: 846.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.51 : 883.98 = 563.67 : x
  2. Step 2: Convert to fraction form
    588.51/883.98 = 563.67/x
  3. Step 3: Cross multiply
    588.51x = 883.98 × 563.67
  4. Step 4: Simplify right side
    588.51x = 498,273.01
  5. Step 5: Solve for x
    x = 498,273.01/588.51
  6. Step 6: Final answer
    x = 846.67

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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.