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Finding the Fourth Proportional to 659.51, 910.41 and 438.76

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Solution

The fourth proportional to 659.51, 910.41 and 438.76 is: 605.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.51 : 910.41 = 438.76 : x
  2. Step 2: Convert to fraction form
    659.51/910.41 = 438.76/x
  3. Step 3: Cross multiply
    659.51x = 910.41 × 438.76
  4. Step 4: Simplify right side
    659.51x = 399,449.22
  5. Step 5: Solve for x
    x = 399,449.22/659.51
  6. Step 6: Final answer
    x = 605.68

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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.