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Finding the Fourth Proportional to 340.26, 509.55 and 288.60

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Solution

The fourth proportional to 340.26, 509.55 and 288.60 is: 432.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.26 : 509.55 = 288.60 : x
  2. Step 2: Convert to fraction form
    340.26/509.55 = 288.60/x
  3. Step 3: Cross multiply
    340.26x = 509.55 × 288.60
  4. Step 4: Simplify right side
    340.26x = 147,056.13
  5. Step 5: Solve for x
    x = 147,056.13/340.26
  6. Step 6: Final answer
    x = 432.19

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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.