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Finding the Fourth Proportional to 380.78, 525.77 and 307.43

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Solution

The fourth proportional to 380.78, 525.77 and 307.43 is: 424.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.78 : 525.77 = 307.43 : x
  2. Step 2: Convert to fraction form
    380.78/525.77 = 307.43/x
  3. Step 3: Cross multiply
    380.78x = 525.77 × 307.43
  4. Step 4: Simplify right side
    380.78x = 161,636.43
  5. Step 5: Solve for x
    x = 161,636.43/380.78
  6. Step 6: Final answer
    x = 424.49

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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.