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Finding the Fourth Proportional to 589.72, 813.62 and 356.76

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Solution

The fourth proportional to 589.72, 813.62 and 356.76 is: 492.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.72 : 813.62 = 356.76 : x
  2. Step 2: Convert to fraction form
    589.72/813.62 = 356.76/x
  3. Step 3: Cross multiply
    589.72x = 813.62 × 356.76
  4. Step 4: Simplify right side
    589.72x = 290,267.07
  5. Step 5: Solve for x
    x = 290,267.07/589.72
  6. Step 6: Final answer
    x = 492.21

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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.