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Finding the Fourth Proportional to 597.58, 896.67 and 366.66

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Solution

The fourth proportional to 597.58, 896.67 and 366.66 is: 550.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.58 : 896.67 = 366.66 : x
  2. Step 2: Convert to fraction form
    597.58/896.67 = 366.66/x
  3. Step 3: Cross multiply
    597.58x = 896.67 × 366.66
  4. Step 4: Simplify right side
    597.58x = 328,773.02
  5. Step 5: Solve for x
    x = 328,773.02/597.58
  6. Step 6: Final answer
    x = 550.18

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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.