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Finding the Fourth Proportional to 597.24, 894.12 and 451.59

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Solution

The fourth proportional to 597.24, 894.12 and 451.59 is: 676.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.24 : 894.12 = 451.59 : x
  2. Step 2: Convert to fraction form
    597.24/894.12 = 451.59/x
  3. Step 3: Cross multiply
    597.24x = 894.12 × 451.59
  4. Step 4: Simplify right side
    597.24x = 403,775.65
  5. Step 5: Solve for x
    x = 403,775.65/597.24
  6. Step 6: Final answer
    x = 676.07

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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.