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Finding the Fourth Proportional to 419.21, 577.86 and 314.13

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Solution

The fourth proportional to 419.21, 577.86 and 314.13 is: 433.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.21 : 577.86 = 314.13 : x
  2. Step 2: Convert to fraction form
    419.21/577.86 = 314.13/x
  3. Step 3: Cross multiply
    419.21x = 577.86 × 314.13
  4. Step 4: Simplify right side
    419.21x = 181,523.16
  5. Step 5: Solve for x
    x = 181,523.16/419.21
  6. Step 6: Final answer
    x = 433.02

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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.