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Finding the Fourth Proportional to 340.36, 509.86 and 288.08

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Solution

The fourth proportional to 340.36, 509.86 and 288.08 is: 431.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.36 : 509.86 = 288.08 : x
  2. Step 2: Convert to fraction form
    340.36/509.86 = 288.08/x
  3. Step 3: Cross multiply
    340.36x = 509.86 × 288.08
  4. Step 4: Simplify right side
    340.36x = 146,880.31
  5. Step 5: Solve for x
    x = 146,880.31/340.36
  6. Step 6: Final answer
    x = 431.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.