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Finding the Fourth Proportional to 603.18, 832.26 and 463.45

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Solution

The fourth proportional to 603.18, 832.26 and 463.45 is: 639.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.18 : 832.26 = 463.45 : x
  2. Step 2: Convert to fraction form
    603.18/832.26 = 463.45/x
  3. Step 3: Cross multiply
    603.18x = 832.26 × 463.45
  4. Step 4: Simplify right side
    603.18x = 385,710.90
  5. Step 5: Solve for x
    x = 385,710.90/603.18
  6. Step 6: Final answer
    x = 639.46

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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.