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Finding the Fourth Proportional to 418.40, 577.64 and 278.72

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Solution

The fourth proportional to 418.40, 577.64 and 278.72 is: 384.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.40 : 577.64 = 278.72 : x
  2. Step 2: Convert to fraction form
    418.40/577.64 = 278.72/x
  3. Step 3: Cross multiply
    418.40x = 577.64 × 278.72
  4. Step 4: Simplify right side
    418.40x = 160,999.82
  5. Step 5: Solve for x
    x = 160,999.82/418.40
  6. Step 6: Final answer
    x = 384.80

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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.