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Finding the Fourth Proportional to 341.82, 510.32 and 293.09

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Solution

The fourth proportional to 341.82, 510.32 and 293.09 is: 437.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.82 : 510.32 = 293.09 : x
  2. Step 2: Convert to fraction form
    341.82/510.32 = 293.09/x
  3. Step 3: Cross multiply
    341.82x = 510.32 × 293.09
  4. Step 4: Simplify right side
    341.82x = 149,567.87
  5. Step 5: Solve for x
    x = 149,567.87/341.82
  6. Step 6: Final answer
    x = 437.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.