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Finding the Fourth Proportional to 604.12, 904.86 and 466.16

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Solution

The fourth proportional to 604.12, 904.86 and 466.16 is: 698.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.12 : 904.86 = 466.16 : x
  2. Step 2: Convert to fraction form
    604.12/904.86 = 466.16/x
  3. Step 3: Cross multiply
    604.12x = 904.86 × 466.16
  4. Step 4: Simplify right side
    604.12x = 421,809.54
  5. Step 5: Solve for x
    x = 421,809.54/604.12
  6. Step 6: Final answer
    x = 698.22

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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.