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Finding the Fourth Proportional to 364.83, 503.41 and 346.37

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Solution

The fourth proportional to 364.83, 503.41 and 346.37 is: 477.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.83 : 503.41 = 346.37 : x
  2. Step 2: Convert to fraction form
    364.83/503.41 = 346.37/x
  3. Step 3: Cross multiply
    364.83x = 503.41 × 346.37
  4. Step 4: Simplify right side
    364.83x = 174,363.23
  5. Step 5: Solve for x
    x = 174,363.23/364.83
  6. Step 6: Final answer
    x = 477.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.