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Finding the Fourth Proportional to 419.99, 578.64 and 314.92

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Solution

The fourth proportional to 419.99, 578.64 and 314.92 is: 433.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.99 : 578.64 = 314.92 : x
  2. Step 2: Convert to fraction form
    419.99/578.64 = 314.92/x
  3. Step 3: Cross multiply
    419.99x = 578.64 × 314.92
  4. Step 4: Simplify right side
    419.99x = 182,223.96
  5. Step 5: Solve for x
    x = 182,223.96/419.99
  6. Step 6: Final answer
    x = 433.87

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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.