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Finding the Fourth Proportional to 601.86, 830.33 and 369.12

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Solution

The fourth proportional to 601.86, 830.33 and 369.12 is: 509.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.86 : 830.33 = 369.12 : x
  2. Step 2: Convert to fraction form
    601.86/830.33 = 369.12/x
  3. Step 3: Cross multiply
    601.86x = 830.33 × 369.12
  4. Step 4: Simplify right side
    601.86x = 306,494.06
  5. Step 5: Solve for x
    x = 306,494.06/601.86
  6. Step 6: Final answer
    x = 509.24

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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.