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Finding the Fourth Proportional to 603.95, 832.79 and 478.20

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Solution

The fourth proportional to 603.95, 832.79 and 478.20 is: 659.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.95 : 832.79 = 478.20 : x
  2. Step 2: Convert to fraction form
    603.95/832.79 = 478.20/x
  3. Step 3: Cross multiply
    603.95x = 832.79 × 478.20
  4. Step 4: Simplify right side
    603.95x = 398,237.79
  5. Step 5: Solve for x
    x = 398,237.79/603.95
  6. Step 6: Final answer
    x = 659.39

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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.