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Finding the Fourth Proportional to 603.02, 904.23 and 465.73

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Solution

The fourth proportional to 603.02, 904.23 and 465.73 is: 698.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.02 : 904.23 = 465.73 : x
  2. Step 2: Convert to fraction form
    603.02/904.23 = 465.73/x
  3. Step 3: Cross multiply
    603.02x = 904.23 × 465.73
  4. Step 4: Simplify right side
    603.02x = 421,127.04
  5. Step 5: Solve for x
    x = 421,127.04/603.02
  6. Step 6: Final answer
    x = 698.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.