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Finding the Fourth Proportional to 340.24, 509.86 and 305.82

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Solution

The fourth proportional to 340.24, 509.86 and 305.82 is: 458.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.24 : 509.86 = 305.82 : x
  2. Step 2: Convert to fraction form
    340.24/509.86 = 305.82/x
  3. Step 3: Cross multiply
    340.24x = 509.86 × 305.82
  4. Step 4: Simplify right side
    340.24x = 155,925.39
  5. Step 5: Solve for x
    x = 155,925.39/340.24
  6. Step 6: Final answer
    x = 458.28

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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.