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Finding the Fourth Proportional to 462.21, 637.53 and 304.86

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Solution

The fourth proportional to 462.21, 637.53 and 304.86 is: 420.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.21 : 637.53 = 304.86 : x
  2. Step 2: Convert to fraction form
    462.21/637.53 = 304.86/x
  3. Step 3: Cross multiply
    462.21x = 637.53 × 304.86
  4. Step 4: Simplify right side
    462.21x = 194,357.40
  5. Step 5: Solve for x
    x = 194,357.40/462.21
  6. Step 6: Final answer
    x = 420.50

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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.