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Finding the Fourth Proportional to 482.70, 666.98 and 378.07

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Solution

The fourth proportional to 482.70, 666.98 and 378.07 is: 522.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.70 : 666.98 = 378.07 : x
  2. Step 2: Convert to fraction form
    482.70/666.98 = 378.07/x
  3. Step 3: Cross multiply
    482.70x = 666.98 × 378.07
  4. Step 4: Simplify right side
    482.70x = 252,165.13
  5. Step 5: Solve for x
    x = 252,165.13/482.70
  6. Step 6: Final answer
    x = 522.41

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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.