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Finding the Fourth Proportional to 597.29, 899.70 and 552.17

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Solution

The fourth proportional to 597.29, 899.70 and 552.17 is: 831.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.29 : 899.70 = 552.17 : x
  2. Step 2: Convert to fraction form
    597.29/899.70 = 552.17/x
  3. Step 3: Cross multiply
    597.29x = 899.70 × 552.17
  4. Step 4: Simplify right side
    597.29x = 496,782.85
  5. Step 5: Solve for x
    x = 496,782.85/597.29
  6. Step 6: Final answer
    x = 831.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.