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Finding the Fourth Proportional to 589.77, 813.69 and 393.35

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Solution

The fourth proportional to 589.77, 813.69 and 393.35 is: 542.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.77 : 813.69 = 393.35 : x
  2. Step 2: Convert to fraction form
    589.77/813.69 = 393.35/x
  3. Step 3: Cross multiply
    589.77x = 813.69 × 393.35
  4. Step 4: Simplify right side
    589.77x = 320,060.89
  5. Step 5: Solve for x
    x = 320,060.89/589.77
  6. Step 6: Final answer
    x = 542.69

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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.