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Finding the Fourth Proportional to 601.82, 830.54 and 365.93

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Solution

The fourth proportional to 601.82, 830.54 and 365.93 is: 505.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.82 : 830.54 = 365.93 : x
  2. Step 2: Convert to fraction form
    601.82/830.54 = 365.93/x
  3. Step 3: Cross multiply
    601.82x = 830.54 × 365.93
  4. Step 4: Simplify right side
    601.82x = 303,919.50
  5. Step 5: Solve for x
    x = 303,919.50/601.82
  6. Step 6: Final answer
    x = 505.00

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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.