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Finding the Fourth Proportional to 894.47, 1,341.75 and 278.17

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Solution

The fourth proportional to 894.47, 1,341.75 and 278.17 is: 417.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.47 : 1,341.75 = 278.17 : x
  2. Step 2: Convert to fraction form
    894.47/1,341.75 = 278.17/x
  3. Step 3: Cross multiply
    894.47x = 1,341.75 × 278.17
  4. Step 4: Simplify right side
    894.47x = 373,227.89
  5. Step 5: Solve for x
    x = 373,227.89/894.47
  6. Step 6: Final answer
    x = 417.26

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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.