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Finding the Fourth Proportional to 415.98, 623.52 and 261.99

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Solution

The fourth proportional to 415.98, 623.52 and 261.99 is: 392.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.98 : 623.52 = 261.99 : x
  2. Step 2: Convert to fraction form
    415.98/623.52 = 261.99/x
  3. Step 3: Cross multiply
    415.98x = 623.52 × 261.99
  4. Step 4: Simplify right side
    415.98x = 163,356.00
  5. Step 5: Solve for x
    x = 163,356.00/415.98
  6. Step 6: Final answer
    x = 392.70

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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.