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Finding the Fourth Proportional to 589.87, 813.51 and 477.77

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Solution

The fourth proportional to 589.87, 813.51 and 477.77 is: 658.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.87 : 813.51 = 477.77 : x
  2. Step 2: Convert to fraction form
    589.87/813.51 = 477.77/x
  3. Step 3: Cross multiply
    589.87x = 813.51 × 477.77
  4. Step 4: Simplify right side
    589.87x = 388,672.71
  5. Step 5: Solve for x
    x = 388,672.71/589.87
  6. Step 6: Final answer
    x = 658.92

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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.