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Finding the Fourth Proportional to 589.78, 813.98 and 368.62

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Solution

The fourth proportional to 589.78, 813.98 and 368.62 is: 508.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.78 : 813.98 = 368.62 : x
  2. Step 2: Convert to fraction form
    589.78/813.98 = 368.62/x
  3. Step 3: Cross multiply
    589.78x = 813.98 × 368.62
  4. Step 4: Simplify right side
    589.78x = 300,048.19
  5. Step 5: Solve for x
    x = 300,048.19/589.78
  6. Step 6: Final answer
    x = 508.74

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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.