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Finding the Fourth Proportional to 377.55, 520.75 and 325.00

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Solution

The fourth proportional to 377.55, 520.75 and 325.00 is: 448.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.55 : 520.75 = 325.00 : x
  2. Step 2: Convert to fraction form
    377.55/520.75 = 325.00/x
  3. Step 3: Cross multiply
    377.55x = 520.75 × 325.00
  4. Step 4: Simplify right side
    377.55x = 169,244.24
  5. Step 5: Solve for x
    x = 169,244.24/377.55
  6. Step 6: Final answer
    x = 448.27

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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.