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Finding the Fourth Proportional to 894.78, 1,341.81 and 278.28

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Solution

The fourth proportional to 894.78, 1,341.81 and 278.28 is: 417.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.78 : 1,341.81 = 278.28 : x
  2. Step 2: Convert to fraction form
    894.78/1,341.81 = 278.28/x
  3. Step 3: Cross multiply
    894.78x = 1,341.81 × 278.28
  4. Step 4: Simplify right side
    894.78x = 373,398.89
  5. Step 5: Solve for x
    x = 373,398.89/894.78
  6. Step 6: Final answer
    x = 417.31

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Why These Related Problems?

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