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Finding the Fourth Proportional to 590.83, 884.57 and 312.55

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Solution

The fourth proportional to 590.83, 884.57 and 312.55 is: 467.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.83 : 884.57 = 312.55 : x
  2. Step 2: Convert to fraction form
    590.83/884.57 = 312.55/x
  3. Step 3: Cross multiply
    590.83x = 884.57 × 312.55
  4. Step 4: Simplify right side
    590.83x = 276,474.83
  5. Step 5: Solve for x
    x = 276,474.83/590.83
  6. Step 6: Final answer
    x = 467.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.