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Finding the Fourth Proportional to 346.69, 475.93 and 297.48

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Solution

The fourth proportional to 346.69, 475.93 and 297.48 is: 408.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.69 : 475.93 = 297.48 : x
  2. Step 2: Convert to fraction form
    346.69/475.93 = 297.48/x
  3. Step 3: Cross multiply
    346.69x = 475.93 × 297.48
  4. Step 4: Simplify right side
    346.69x = 141,581.26
  5. Step 5: Solve for x
    x = 141,581.26/346.69
  6. Step 6: Final answer
    x = 408.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.