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Finding the Fourth Proportional to 597.13, 894.67 and 423.51

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Solution

The fourth proportional to 597.13, 894.67 and 423.51 is: 634.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.13 : 894.67 = 423.51 : x
  2. Step 2: Convert to fraction form
    597.13/894.67 = 423.51/x
  3. Step 3: Cross multiply
    597.13x = 894.67 × 423.51
  4. Step 4: Simplify right side
    597.13x = 378,901.69
  5. Step 5: Solve for x
    x = 378,901.69/597.13
  6. Step 6: Final answer
    x = 634.54

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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.