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Finding the Fourth Proportional to 328.14, 452.25 and 262.53

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Solution

The fourth proportional to 328.14, 452.25 and 262.53 is: 361.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.14 : 452.25 = 262.53 : x
  2. Step 2: Convert to fraction form
    328.14/452.25 = 262.53/x
  3. Step 3: Cross multiply
    328.14x = 452.25 × 262.53
  4. Step 4: Simplify right side
    328.14x = 118,729.19
  5. Step 5: Solve for x
    x = 118,729.19/328.14
  6. Step 6: Final answer
    x = 361.82

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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.