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Finding the Fourth Proportional to 604, 906.96 and 584.32

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Solution

The fourth proportional to 604, 906.96 and 584.32 is: 877.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    604 : 906.96 = 584.32 : x
  2. Step 2: Convert to fraction form
    604/906.96 = 584.32/x
  3. Step 3: Cross multiply
    604x = 906.96 × 584.32
  4. Step 4: Simplify right side
    604x = 529,954.87
  5. Step 5: Solve for x
    x = 529,954.87/604
  6. Step 6: Final answer
    x = 877.41

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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.