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Finding the Fourth Proportional to 632.88, 865.69 and 623.36

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Solution

The fourth proportional to 632.88, 865.69 and 623.36 is: 852.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.88 : 865.69 = 623.36 : x
  2. Step 2: Convert to fraction form
    632.88/865.69 = 623.36/x
  3. Step 3: Cross multiply
    632.88x = 865.69 × 623.36
  4. Step 4: Simplify right side
    632.88x = 539,637.12
  5. Step 5: Solve for x
    x = 539,637.12/632.88
  6. Step 6: Final answer
    x = 852.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.