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Finding the Fourth Proportional to 415.19, 576.99 and 410.06

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Solution

The fourth proportional to 415.19, 576.99 and 410.06 is: 569.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.19 : 576.99 = 410.06 : x
  2. Step 2: Convert to fraction form
    415.19/576.99 = 410.06/x
  3. Step 3: Cross multiply
    415.19x = 576.99 × 410.06
  4. Step 4: Simplify right side
    415.19x = 236,601.96
  5. Step 5: Solve for x
    x = 236,601.96/415.19
  6. Step 6: Final answer
    x = 569.86

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.