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Finding the Fourth Proportional to 380.17, 566.69 and 359.65

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Solution

The fourth proportional to 380.17, 566.69 and 359.65 is: 536.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.17 : 566.69 = 359.65 : x
  2. Step 2: Convert to fraction form
    380.17/566.69 = 359.65/x
  3. Step 3: Cross multiply
    380.17x = 566.69 × 359.65
  4. Step 4: Simplify right side
    380.17x = 203,810.06
  5. Step 5: Solve for x
    x = 203,810.06/380.17
  6. Step 6: Final answer
    x = 536.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.