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Finding the Fourth Proportional to 604.88, 904.80 and 459.44

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Solution

The fourth proportional to 604.88, 904.80 and 459.44 is: 687.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.88 : 904.80 = 459.44 : x
  2. Step 2: Convert to fraction form
    604.88/904.80 = 459.44/x
  3. Step 3: Cross multiply
    604.88x = 904.80 × 459.44
  4. Step 4: Simplify right side
    604.88x = 415,701.31
  5. Step 5: Solve for x
    x = 415,701.31/604.88
  6. Step 6: Final answer
    x = 687.25

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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.