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Finding the Fourth Proportional to 603.81, 832.95 and 382.95

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Solution

The fourth proportional to 603.81, 832.95 and 382.95 is: 528.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.81 : 832.95 = 382.95 : x
  2. Step 2: Convert to fraction form
    603.81/832.95 = 382.95/x
  3. Step 3: Cross multiply
    603.81x = 832.95 × 382.95
  4. Step 4: Simplify right side
    603.81x = 318,978.20
  5. Step 5: Solve for x
    x = 318,978.20/603.81
  6. Step 6: Final answer
    x = 528.28

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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.