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Finding the Fourth Proportional to 419.26, 578.83 and 313.50

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Solution

The fourth proportional to 419.26, 578.83 and 313.50 is: 432.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.26 : 578.83 = 313.50 : x
  2. Step 2: Convert to fraction form
    419.26/578.83 = 313.50/x
  3. Step 3: Cross multiply
    419.26x = 578.83 × 313.50
  4. Step 4: Simplify right side
    419.26x = 181,461.96
  5. Step 5: Solve for x
    x = 181,461.96/419.26
  6. Step 6: Final answer
    x = 432.81

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Why These Related Problems?

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