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Finding the Fourth Proportional to 359.08, 496.74 and 346.12

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Solution

The fourth proportional to 359.08, 496.74 and 346.12 is: 478.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.08 : 496.74 = 346.12 : x
  2. Step 2: Convert to fraction form
    359.08/496.74 = 346.12/x
  3. Step 3: Cross multiply
    359.08x = 496.74 × 346.12
  4. Step 4: Simplify right side
    359.08x = 171,931.65
  5. Step 5: Solve for x
    x = 171,931.65/359.08
  6. Step 6: Final answer
    x = 478.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.