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Finding the Fourth Proportional to 598.92, 825.77 and 433.07

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Solution

The fourth proportional to 598.92, 825.77 and 433.07 is: 597.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.92 : 825.77 = 433.07 : x
  2. Step 2: Convert to fraction form
    598.92/825.77 = 433.07/x
  3. Step 3: Cross multiply
    598.92x = 825.77 × 433.07
  4. Step 4: Simplify right side
    598.92x = 357,616.21
  5. Step 5: Solve for x
    x = 357,616.21/598.92
  6. Step 6: Final answer
    x = 597.10

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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.