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Finding the Fourth Proportional to 894.52, 1,341.74 and 317.48

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Solution

The fourth proportional to 894.52, 1,341.74 and 317.48 is: 476.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.52 : 1,341.74 = 317.48 : x
  2. Step 2: Convert to fraction form
    894.52/1,341.74 = 317.48/x
  3. Step 3: Cross multiply
    894.52x = 1,341.74 × 317.48
  4. Step 4: Simplify right side
    894.52x = 425,975.62
  5. Step 5: Solve for x
    x = 425,975.62/894.52
  6. Step 6: Final answer
    x = 476.21

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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.