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Finding the Fourth Proportional to 368.16, 507.05 and 341.73

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Solution

The fourth proportional to 368.16, 507.05 and 341.73 is: 470.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.16 : 507.05 = 341.73 : x
  2. Step 2: Convert to fraction form
    368.16/507.05 = 341.73/x
  3. Step 3: Cross multiply
    368.16x = 507.05 × 341.73
  4. Step 4: Simplify right side
    368.16x = 173,274.20
  5. Step 5: Solve for x
    x = 173,274.20/368.16
  6. Step 6: Final answer
    x = 470.65

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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.