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Finding the Fourth Proportional to 415.35, 571.53 and 403.31

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Solution

The fourth proportional to 415.35, 571.53 and 403.31 is: 554.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.35 : 571.53 = 403.31 : x
  2. Step 2: Convert to fraction form
    415.35/571.53 = 403.31/x
  3. Step 3: Cross multiply
    415.35x = 571.53 × 403.31
  4. Step 4: Simplify right side
    415.35x = 230,505.57
  5. Step 5: Solve for x
    x = 230,505.57/415.35
  6. Step 6: Final answer
    x = 554.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.