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Finding the Fourth Proportional to 315.50, 435.45 and 301.67

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Solution

The fourth proportional to 315.50, 435.45 and 301.67 is: 416.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.50 : 435.45 = 301.67 : x
  2. Step 2: Convert to fraction form
    315.50/435.45 = 301.67/x
  3. Step 3: Cross multiply
    315.50x = 435.45 × 301.67
  4. Step 4: Simplify right side
    315.50x = 131,358.52
  5. Step 5: Solve for x
    x = 131,358.52/315.50
  6. Step 6: Final answer
    x = 416.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.