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Finding the Fourth Proportional to 438.48, 657.36 and 361.26

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Solution

The fourth proportional to 438.48, 657.36 and 361.26 is: 541.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.48 : 657.36 = 361.26 : x
  2. Step 2: Convert to fraction form
    438.48/657.36 = 361.26/x
  3. Step 3: Cross multiply
    438.48x = 657.36 × 361.26
  4. Step 4: Simplify right side
    438.48x = 237,477.87
  5. Step 5: Solve for x
    x = 237,477.87/438.48
  6. Step 6: Final answer
    x = 541.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.