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Finding the Fourth Proportional to 418.47, 577.73 and 278.77

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Solution

The fourth proportional to 418.47, 577.73 and 278.77 is: 384.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.47 : 577.73 = 278.77 : x
  2. Step 2: Convert to fraction form
    418.47/577.73 = 278.77/x
  3. Step 3: Cross multiply
    418.47x = 577.73 × 278.77
  4. Step 4: Simplify right side
    418.47x = 161,053.79
  5. Step 5: Solve for x
    x = 161,053.79/418.47
  6. Step 6: Final answer
    x = 384.86

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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.