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Finding the Fourth Proportional to 894.75, 1,341.96 and 278.47

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Solution

The fourth proportional to 894.75, 1,341.96 and 278.47 is: 417.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.75 : 1,341.96 = 278.47 : x
  2. Step 2: Convert to fraction form
    894.75/1,341.96 = 278.47/x
  3. Step 3: Cross multiply
    894.75x = 1,341.96 × 278.47
  4. Step 4: Simplify right side
    894.75x = 373,689.47
  5. Step 5: Solve for x
    x = 373,689.47/894.75
  6. Step 6: Final answer
    x = 417.64

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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.