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Finding the Fourth Proportional to 418.16, 577.30 and 278.47

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Solution

The fourth proportional to 418.16, 577.30 and 278.47 is: 384.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.16 : 577.30 = 278.47 : x
  2. Step 2: Convert to fraction form
    418.16/577.30 = 278.47/x
  3. Step 3: Cross multiply
    418.16x = 577.30 × 278.47
  4. Step 4: Simplify right side
    418.16x = 160,760.73
  5. Step 5: Solve for x
    x = 160,760.73/418.16
  6. Step 6: Final answer
    x = 384.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.