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Finding the Fourth Proportional to 632.34, 874.26 and 521.64

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Solution

The fourth proportional to 632.34, 874.26 and 521.64 is: 721.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.34 : 874.26 = 521.64 : x
  2. Step 2: Convert to fraction form
    632.34/874.26 = 521.64/x
  3. Step 3: Cross multiply
    632.34x = 874.26 × 521.64
  4. Step 4: Simplify right side
    632.34x = 456,048.99
  5. Step 5: Solve for x
    x = 456,048.99/632.34
  6. Step 6: Final answer
    x = 721.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.