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Finding the Fourth Proportional to 505.98, 753.74 and 490.68

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Solution

The fourth proportional to 505.98, 753.74 and 490.68 is: 730.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.98 : 753.74 = 490.68 : x
  2. Step 2: Convert to fraction form
    505.98/753.74 = 490.68/x
  3. Step 3: Cross multiply
    505.98x = 753.74 × 490.68
  4. Step 4: Simplify right side
    505.98x = 369,846.65
  5. Step 5: Solve for x
    x = 369,846.65/505.98
  6. Step 6: Final answer
    x = 730.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.