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Finding the Fourth Proportional to 377.60, 519.72 and 328.08

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Solution

The fourth proportional to 377.60, 519.72 and 328.08 is: 451.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.60 : 519.72 = 328.08 : x
  2. Step 2: Convert to fraction form
    377.60/519.72 = 328.08/x
  3. Step 3: Cross multiply
    377.60x = 519.72 × 328.08
  4. Step 4: Simplify right side
    377.60x = 170,509.74
  5. Step 5: Solve for x
    x = 170,509.74/377.60
  6. Step 6: Final answer
    x = 451.56

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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.