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Finding the Fourth Proportional to 461.87, 637.50 and 304.62

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Solution

The fourth proportional to 461.87, 637.50 and 304.62 is: 420.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.87 : 637.50 = 304.62 : x
  2. Step 2: Convert to fraction form
    461.87/637.50 = 304.62/x
  3. Step 3: Cross multiply
    461.87x = 637.50 × 304.62
  4. Step 4: Simplify right side
    461.87x = 194,194.00
  5. Step 5: Solve for x
    x = 194,194.00/461.87
  6. Step 6: Final answer
    x = 420.45

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