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Finding the Fourth Proportional to 340.71, 509.93 and 293.19

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Solution

The fourth proportional to 340.71, 509.93 and 293.19 is: 438.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.71 : 509.93 = 293.19 : x
  2. Step 2: Convert to fraction form
    340.71/509.93 = 293.19/x
  3. Step 3: Cross multiply
    340.71x = 509.93 × 293.19
  4. Step 4: Simplify right side
    340.71x = 149,506.38
  5. Step 5: Solve for x
    x = 149,506.38/340.71
  6. Step 6: Final answer
    x = 438.81

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Why These Related Problems?

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