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Finding the Fourth Proportional to 463.95, 639.99 and 297.99

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Solution

The fourth proportional to 463.95, 639.99 and 297.99 is: 411.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.95 : 639.99 = 297.99 : x
  2. Step 2: Convert to fraction form
    463.95/639.99 = 297.99/x
  3. Step 3: Cross multiply
    463.95x = 639.99 × 297.99
  4. Step 4: Simplify right side
    463.95x = 190,710.62
  5. Step 5: Solve for x
    x = 190,710.62/463.95
  6. Step 6: Final answer
    x = 411.06

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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.