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Finding the Fourth Proportional to 378.06, 521.80 and 245.45

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Solution

The fourth proportional to 378.06, 521.80 and 245.45 is: 338.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.06 : 521.80 = 245.45 : x
  2. Step 2: Convert to fraction form
    378.06/521.80 = 245.45/x
  3. Step 3: Cross multiply
    378.06x = 521.80 × 245.45
  4. Step 4: Simplify right side
    378.06x = 128,075.81
  5. Step 5: Solve for x
    x = 128,075.81/378.06
  6. Step 6: Final answer
    x = 338.77

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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.