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Finding the Fourth Proportional to 604.64, 904.92 and 506.22

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Solution

The fourth proportional to 604.64, 904.92 and 506.22 is: 757.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.64 : 904.92 = 506.22 : x
  2. Step 2: Convert to fraction form
    604.64/904.92 = 506.22/x
  3. Step 3: Cross multiply
    604.64x = 904.92 × 506.22
  4. Step 4: Simplify right side
    604.64x = 458,088.60
  5. Step 5: Solve for x
    x = 458,088.60/604.64
  6. Step 6: Final answer
    x = 757.62

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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.