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Finding the Fourth Proportional to 716.91, 1,074.75 and 305.67

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Solution

The fourth proportional to 716.91, 1,074.75 and 305.67 is: 458.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.91 : 1,074.75 = 305.67 : x
  2. Step 2: Convert to fraction form
    716.91/1,074.75 = 305.67/x
  3. Step 3: Cross multiply
    716.91x = 1,074.75 × 305.67
  4. Step 4: Simplify right side
    716.91x = 328,518.83
  5. Step 5: Solve for x
    x = 328,518.83/716.91
  6. Step 6: Final answer
    x = 458.24

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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.