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Finding the Fourth Proportional to 420.99, 577.17 and 414.60

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Solution

The fourth proportional to 420.99, 577.17 and 414.60 is: 568.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.99 : 577.17 = 414.60 : x
  2. Step 2: Convert to fraction form
    420.99/577.17 = 414.60/x
  3. Step 3: Cross multiply
    420.99x = 577.17 × 414.60
  4. Step 4: Simplify right side
    420.99x = 239,294.68
  5. Step 5: Solve for x
    x = 239,294.68/420.99
  6. Step 6: Final answer
    x = 568.41

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.