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Finding the Fourth Proportional to 659.79, 910.74 and 438.80

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Solution

The fourth proportional to 659.79, 910.74 and 438.80 is: 605.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.79 : 910.74 = 438.80 : x
  2. Step 2: Convert to fraction form
    659.79/910.74 = 438.80/x
  3. Step 3: Cross multiply
    659.79x = 910.74 × 438.80
  4. Step 4: Simplify right side
    659.79x = 399,632.71
  5. Step 5: Solve for x
    x = 399,632.71/659.79
  6. Step 6: Final answer
    x = 605.70

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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.