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Finding the Fourth Proportional to 419.76, 577.68 and 309.06

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Solution

The fourth proportional to 419.76, 577.68 and 309.06 is: 425.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.76 : 577.68 = 309.06 : x
  2. Step 2: Convert to fraction form
    419.76/577.68 = 309.06/x
  3. Step 3: Cross multiply
    419.76x = 577.68 × 309.06
  4. Step 4: Simplify right side
    419.76x = 178,537.78
  5. Step 5: Solve for x
    x = 178,537.78/419.76
  6. Step 6: Final answer
    x = 425.33

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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.