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Finding the Fourth Proportional to 425.12, 583.22 and 404.46

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Solution

The fourth proportional to 425.12, 583.22 and 404.46 is: 554.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.12 : 583.22 = 404.46 : x
  2. Step 2: Convert to fraction form
    425.12/583.22 = 404.46/x
  3. Step 3: Cross multiply
    425.12x = 583.22 × 404.46
  4. Step 4: Simplify right side
    425.12x = 235,890.17
  5. Step 5: Solve for x
    x = 235,890.17/425.12
  6. Step 6: Final answer
    x = 554.89

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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.