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Finding the Fourth Proportional to 421.11, 583.60 and 415.24

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Solution

The fourth proportional to 421.11, 583.60 and 415.24 is: 575.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.11 : 583.60 = 415.24 : x
  2. Step 2: Convert to fraction form
    421.11/583.60 = 415.24/x
  3. Step 3: Cross multiply
    421.11x = 583.60 × 415.24
  4. Step 4: Simplify right side
    421.11x = 242,334.06
  5. Step 5: Solve for x
    x = 242,334.06/421.11
  6. Step 6: Final answer
    x = 575.46

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.