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Finding the Fourth Proportional to 451.65, 677.88 and 297.15

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Solution

The fourth proportional to 451.65, 677.88 and 297.15 is: 445.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.65 : 677.88 = 297.15 : x
  2. Step 2: Convert to fraction form
    451.65/677.88 = 297.15/x
  3. Step 3: Cross multiply
    451.65x = 677.88 × 297.15
  4. Step 4: Simplify right side
    451.65x = 201,432.04
  5. Step 5: Solve for x
    x = 201,432.04/451.65
  6. Step 6: Final answer
    x = 445.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.