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Finding the Fourth Proportional to 589.47, 813.35 and 356.55

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Solution

The fourth proportional to 589.47, 813.35 and 356.55 is: 491.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.47 : 813.35 = 356.55 : x
  2. Step 2: Convert to fraction form
    589.47/813.35 = 356.55/x
  3. Step 3: Cross multiply
    589.47x = 813.35 × 356.55
  4. Step 4: Simplify right side
    589.47x = 289,998.16
  5. Step 5: Solve for x
    x = 289,998.16/589.47
  6. Step 6: Final answer
    x = 491.96

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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.