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Finding the Fourth Proportional to 589.50, 813.30 and 368.37

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Solution

The fourth proportional to 589.50, 813.30 and 368.37 is: 508.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.50 : 813.30 = 368.37 : x
  2. Step 2: Convert to fraction form
    589.50/813.30 = 368.37/x
  3. Step 3: Cross multiply
    589.50x = 813.30 × 368.37
  4. Step 4: Simplify right side
    589.50x = 299,595.32
  5. Step 5: Solve for x
    x = 299,595.32/589.50
  6. Step 6: Final answer
    x = 508.22

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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.