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Finding the Fourth Proportional to 436.38, 657.59 and 415.52

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Solution

The fourth proportional to 436.38, 657.59 and 415.52 is: 626.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.38 : 657.59 = 415.52 : x
  2. Step 2: Convert to fraction form
    436.38/657.59 = 415.52/x
  3. Step 3: Cross multiply
    436.38x = 657.59 × 415.52
  4. Step 4: Simplify right side
    436.38x = 273,241.36
  5. Step 5: Solve for x
    x = 273,241.36/436.38
  6. Step 6: Final answer
    x = 626.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.