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Finding the Fourth Proportional to 415.85, 569.99 and 415.16

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Solution

The fourth proportional to 415.85, 569.99 and 415.16 is: 569.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.85 : 569.99 = 415.16 : x
  2. Step 2: Convert to fraction form
    415.85/569.99 = 415.16/x
  3. Step 3: Cross multiply
    415.85x = 569.99 × 415.16
  4. Step 4: Simplify right side
    415.85x = 236,637.05
  5. Step 5: Solve for x
    x = 236,637.05/415.85
  6. Step 6: Final answer
    x = 569.04

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.