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Finding the Fourth Proportional to 463.21, 637.93 and 428.58

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Solution

The fourth proportional to 463.21, 637.93 and 428.58 is: 590.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.21 : 637.93 = 428.58 : x
  2. Step 2: Convert to fraction form
    463.21/637.93 = 428.58/x
  3. Step 3: Cross multiply
    463.21x = 637.93 × 428.58
  4. Step 4: Simplify right side
    463.21x = 273,404.58
  5. Step 5: Solve for x
    x = 273,404.58/463.21
  6. Step 6: Final answer
    x = 590.24

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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.