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Finding the Fourth Proportional to 894.98, 1,342.34 and 278.63

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Solution

The fourth proportional to 894.98, 1,342.34 and 278.63 is: 417.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.98 : 1,342.34 = 278.63 : x
  2. Step 2: Convert to fraction form
    894.98/1,342.34 = 278.63/x
  3. Step 3: Cross multiply
    894.98x = 1,342.34 × 278.63
  4. Step 4: Simplify right side
    894.98x = 374,008.09
  5. Step 5: Solve for x
    x = 374,008.09/894.98
  6. Step 6: Final answer
    x = 417.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.