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Finding the Fourth Proportional to 589.77, 813.93 and 442.15

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Solution

The fourth proportional to 589.77, 813.93 and 442.15 is: 610.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.77 : 813.93 = 442.15 : x
  2. Step 2: Convert to fraction form
    589.77/813.93 = 442.15/x
  3. Step 3: Cross multiply
    589.77x = 813.93 × 442.15
  4. Step 4: Simplify right side
    589.77x = 359,879.15
  5. Step 5: Solve for x
    x = 359,879.15/589.77
  6. Step 6: Final answer
    x = 610.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.