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Finding the Fourth Proportional to 601.77, 830.41 and 365.74

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Solution

The fourth proportional to 601.77, 830.41 and 365.74 is: 504.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.77 : 830.41 = 365.74 : x
  2. Step 2: Convert to fraction form
    601.77/830.41 = 365.74/x
  3. Step 3: Cross multiply
    601.77x = 830.41 × 365.74
  4. Step 4: Simplify right side
    601.77x = 303,714.15
  5. Step 5: Solve for x
    x = 303,714.15/601.77
  6. Step 6: Final answer
    x = 504.70

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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.