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Finding the Fourth Proportional to 656.44, 904.03 and 459.61

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Solution

The fourth proportional to 656.44, 904.03 and 459.61 is: 632.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.44 : 904.03 = 459.61 : x
  2. Step 2: Convert to fraction form
    656.44/904.03 = 459.61/x
  3. Step 3: Cross multiply
    656.44x = 904.03 × 459.61
  4. Step 4: Simplify right side
    656.44x = 415,497.82
  5. Step 5: Solve for x
    x = 415,497.82/656.44
  6. Step 6: Final answer
    x = 632.96

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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.