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Finding the Fourth Proportional to 450.99, 675.69 and 313.77

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Solution

The fourth proportional to 450.99, 675.69 and 313.77 is: 470.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.99 : 675.69 = 313.77 : x
  2. Step 2: Convert to fraction form
    450.99/675.69 = 313.77/x
  3. Step 3: Cross multiply
    450.99x = 675.69 × 313.77
  4. Step 4: Simplify right side
    450.99x = 212,014.37
  5. Step 5: Solve for x
    x = 212,014.37/450.99
  6. Step 6: Final answer
    x = 470.11

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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.