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Finding the Fourth Proportional to 553.02, 762.78 and 378.06

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Solution

The fourth proportional to 553.02, 762.78 and 378.06 is: 521.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.02 : 762.78 = 378.06 : x
  2. Step 2: Convert to fraction form
    553.02/762.78 = 378.06/x
  3. Step 3: Cross multiply
    553.02x = 762.78 × 378.06
  4. Step 4: Simplify right side
    553.02x = 288,376.61
  5. Step 5: Solve for x
    x = 288,376.61/553.02
  6. Step 6: Final answer
    x = 521.46

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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.