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Finding the Fourth Proportional to 419.15, 628.86 and 175.74

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Solution

The fourth proportional to 419.15, 628.86 and 175.74 is: 263.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.15 : 628.86 = 175.74 : x
  2. Step 2: Convert to fraction form
    419.15/628.86 = 175.74/x
  3. Step 3: Cross multiply
    419.15x = 628.86 × 175.74
  4. Step 4: Simplify right side
    419.15x = 110,515.86
  5. Step 5: Solve for x
    x = 110,515.86/419.15
  6. Step 6: Final answer
    x = 263.67

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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.