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Finding the Fourth Proportional to 508.41, 700.74 and 419.67

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Solution

The fourth proportional to 508.41, 700.74 and 419.67 is: 578.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.41 : 700.74 = 419.67 : x
  2. Step 2: Convert to fraction form
    508.41/700.74 = 419.67/x
  3. Step 3: Cross multiply
    508.41x = 700.74 × 419.67
  4. Step 4: Simplify right side
    508.41x = 294,079.56
  5. Step 5: Solve for x
    x = 294,079.56/508.41
  6. Step 6: Final answer
    x = 578.43

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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.