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Finding the Fourth Proportional to 589.86, 813.93 and 353.75

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Solution

The fourth proportional to 589.86, 813.93 and 353.75 is: 488.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.86 : 813.93 = 353.75 : x
  2. Step 2: Convert to fraction form
    589.86/813.93 = 353.75/x
  3. Step 3: Cross multiply
    589.86x = 813.93 × 353.75
  4. Step 4: Simplify right side
    589.86x = 287,927.74
  5. Step 5: Solve for x
    x = 287,927.74/589.86
  6. Step 6: Final answer
    x = 488.13

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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.