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Finding the Fourth Proportional to 603.70, 904.20 and 466.30

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Solution

The fourth proportional to 603.70, 904.20 and 466.30 is: 698.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.70 : 904.20 = 466.30 : x
  2. Step 2: Convert to fraction form
    603.70/904.20 = 466.30/x
  3. Step 3: Cross multiply
    603.70x = 904.20 × 466.30
  4. Step 4: Simplify right side
    603.70x = 421,628.46
  5. Step 5: Solve for x
    x = 421,628.46/603.70
  6. Step 6: Final answer
    x = 698.41

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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.