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Finding the Fourth Proportional to 632.84, 950.26 and 563.54

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Solution

The fourth proportional to 632.84, 950.26 and 563.54 is: 846.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.84 : 950.26 = 563.54 : x
  2. Step 2: Convert to fraction form
    632.84/950.26 = 563.54/x
  3. Step 3: Cross multiply
    632.84x = 950.26 × 563.54
  4. Step 4: Simplify right side
    632.84x = 535,509.52
  5. Step 5: Solve for x
    x = 535,509.52/632.84
  6. Step 6: Final answer
    x = 846.20

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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.