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Finding the Fourth Proportional to 634.21, 874.76 and 437.38

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Solution

The fourth proportional to 634.21, 874.76 and 437.38 is: 603.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.21 : 874.76 = 437.38 : x
  2. Step 2: Convert to fraction form
    634.21/874.76 = 437.38/x
  3. Step 3: Cross multiply
    634.21x = 874.76 × 437.38
  4. Step 4: Simplify right side
    634.21x = 382,598.16
  5. Step 5: Solve for x
    x = 382,598.16/634.21
  6. Step 6: Final answer
    x = 603.27

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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.