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Finding the Fourth Proportional to 894.26, 1,341.52 and 278.01

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Solution

The fourth proportional to 894.26, 1,341.52 and 278.01 is: 417.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.26 : 1,341.52 = 278.01 : x
  2. Step 2: Convert to fraction form
    894.26/1,341.52 = 278.01/x
  3. Step 3: Cross multiply
    894.26x = 1,341.52 × 278.01
  4. Step 4: Simplify right side
    894.26x = 372,954.59
  5. Step 5: Solve for x
    x = 372,954.59/894.26
  6. Step 6: Final answer
    x = 417.06

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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.