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Finding the Fourth Proportional to 419.15, 578.67 and 373.01

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Solution

The fourth proportional to 419.15, 578.67 and 373.01 is: 514.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.15 : 578.67 = 373.01 : x
  2. Step 2: Convert to fraction form
    419.15/578.67 = 373.01/x
  3. Step 3: Cross multiply
    419.15x = 578.67 × 373.01
  4. Step 4: Simplify right side
    419.15x = 215,846.80
  5. Step 5: Solve for x
    x = 215,846.80/419.15
  6. Step 6: Final answer
    x = 514.97

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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.