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Finding the Fourth Proportional to 462.46, 637.95 and 287.50

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Solution

The fourth proportional to 462.46, 637.95 and 287.50 is: 396.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.46 : 637.95 = 287.50 : x
  2. Step 2: Convert to fraction form
    462.46/637.95 = 287.50/x
  3. Step 3: Cross multiply
    462.46x = 637.95 × 287.50
  4. Step 4: Simplify right side
    462.46x = 183,410.63
  5. Step 5: Solve for x
    x = 183,410.63/462.46
  6. Step 6: Final answer
    x = 396.60

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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.