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Finding the Fourth Proportional to 419.09, 577.85 and 314.01

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Solution

The fourth proportional to 419.09, 577.85 and 314.01 is: 432.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.09 : 577.85 = 314.01 : x
  2. Step 2: Convert to fraction form
    419.09/577.85 = 314.01/x
  3. Step 3: Cross multiply
    419.09x = 577.85 × 314.01
  4. Step 4: Simplify right side
    419.09x = 181,449.11
  5. Step 5: Solve for x
    x = 181,449.11/419.09
  6. Step 6: Final answer
    x = 432.96

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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.