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Finding the Fourth Proportional to 597.03, 822.92 and 465.81

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Solution

The fourth proportional to 597.03, 822.92 and 465.81 is: 642.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.03 : 822.92 = 465.81 : x
  2. Step 2: Convert to fraction form
    597.03/822.92 = 465.81/x
  3. Step 3: Cross multiply
    597.03x = 822.92 × 465.81
  4. Step 4: Simplify right side
    597.03x = 383,324.37
  5. Step 5: Solve for x
    x = 383,324.37/597.03
  6. Step 6: Final answer
    x = 642.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.