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Finding the Fourth Proportional to 845.25, 1,267.97 and 297.58

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Solution

The fourth proportional to 845.25, 1,267.97 and 297.58 is: 446.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.25 : 1,267.97 = 297.58 : x
  2. Step 2: Convert to fraction form
    845.25/1,267.97 = 297.58/x
  3. Step 3: Cross multiply
    845.25x = 1,267.97 × 297.58
  4. Step 4: Simplify right side
    845.25x = 377,322.51
  5. Step 5: Solve for x
    x = 377,322.51/845.25
  6. Step 6: Final answer
    x = 446.40

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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.