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Finding the Fourth Proportional to 601.56, 829.95 and 365.41

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Solution

The fourth proportional to 601.56, 829.95 and 365.41 is: 504.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.56 : 829.95 = 365.41 : x
  2. Step 2: Convert to fraction form
    601.56/829.95 = 365.41/x
  3. Step 3: Cross multiply
    601.56x = 829.95 × 365.41
  4. Step 4: Simplify right side
    601.56x = 303,271.70
  5. Step 5: Solve for x
    x = 303,271.70/601.56
  6. Step 6: Final answer
    x = 504.14

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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.