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Finding the Fourth Proportional to 583.88, 804.56 and 478.64

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Solution

The fourth proportional to 583.88, 804.56 and 478.64 is: 659.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.88 : 804.56 = 478.64 : x
  2. Step 2: Convert to fraction form
    583.88/804.56 = 478.64/x
  3. Step 3: Cross multiply
    583.88x = 804.56 × 478.64
  4. Step 4: Simplify right side
    583.88x = 385,094.22
  5. Step 5: Solve for x
    x = 385,094.22/583.88
  6. Step 6: Final answer
    x = 659.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.