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Finding the Fourth Proportional to 589.97, 813.53 and 368.87

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Solution

The fourth proportional to 589.97, 813.53 and 368.87 is: 508.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.97 : 813.53 = 368.87 : x
  2. Step 2: Convert to fraction form
    589.97/813.53 = 368.87/x
  3. Step 3: Cross multiply
    589.97x = 813.53 × 368.87
  4. Step 4: Simplify right side
    589.97x = 300,083.67
  5. Step 5: Solve for x
    x = 300,083.67/589.97
  6. Step 6: Final answer
    x = 508.64

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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.