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Finding the Fourth Proportional to 364.60, 501.05 and 347.68

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Solution

The fourth proportional to 364.60, 501.05 and 347.68 is: 477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.60 : 501.05 = 347.68 : x
  2. Step 2: Convert to fraction form
    364.60/501.05 = 347.68/x
  3. Step 3: Cross multiply
    364.60x = 501.05 × 347.68
  4. Step 4: Simplify right side
    364.60x = 174,205.06
  5. Step 5: Solve for x
    x = 174,205.06/364.60
  6. Step 6: Final answer
    x = 477.80

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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.