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Finding the Fourth Proportional to 602.06, 830.84 and 366

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Solution

The fourth proportional to 602.06, 830.84 and 366 is: 505.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.06 : 830.84 = 366 : x
  2. Step 2: Convert to fraction form
    602.06/830.84 = 366/x
  3. Step 3: Cross multiply
    602.06x = 830.84 × 366
  4. Step 4: Simplify right side
    602.06x = 304,087.44
  5. Step 5: Solve for x
    x = 304,087.44/602.06
  6. Step 6: Final answer
    x = 505.08

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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.