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Finding the Fourth Proportional to 340.35, 511.20 and 291.99

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Solution

The fourth proportional to 340.35, 511.20 and 291.99 is: 438.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.35 : 511.20 = 291.99 : x
  2. Step 2: Convert to fraction form
    340.35/511.20 = 291.99/x
  3. Step 3: Cross multiply
    340.35x = 511.20 × 291.99
  4. Step 4: Simplify right side
    340.35x = 149,267.21
  5. Step 5: Solve for x
    x = 149,267.21/340.35
  6. Step 6: Final answer
    x = 438.57

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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.