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Finding the Fourth Proportional to 597.86, 897.13 and 289.78

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Solution

The fourth proportional to 597.86, 897.13 and 289.78 is: 434.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.86 : 897.13 = 289.78 : x
  2. Step 2: Convert to fraction form
    597.86/897.13 = 289.78/x
  3. Step 3: Cross multiply
    597.86x = 897.13 × 289.78
  4. Step 4: Simplify right side
    597.86x = 259,966.82
  5. Step 5: Solve for x
    x = 259,966.82/597.86
  6. Step 6: Final answer
    x = 434.83

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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.