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Finding the Fourth Proportional to 598.29, 823.83 and 542.69

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Solution

The fourth proportional to 598.29, 823.83 and 542.69 is: 747.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.29 : 823.83 = 542.69 : x
  2. Step 2: Convert to fraction form
    598.29/823.83 = 542.69/x
  3. Step 3: Cross multiply
    598.29x = 823.83 × 542.69
  4. Step 4: Simplify right side
    598.29x = 447,080.18
  5. Step 5: Solve for x
    x = 447,080.18/598.29
  6. Step 6: Final answer
    x = 747.26

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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.