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Finding the Fourth Proportional to 435.84, 656.97 and 391.20

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Solution

The fourth proportional to 435.84, 656.97 and 391.20 is: 589.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.84 : 656.97 = 391.20 : x
  2. Step 2: Convert to fraction form
    435.84/656.97 = 391.20/x
  3. Step 3: Cross multiply
    435.84x = 656.97 × 391.20
  4. Step 4: Simplify right side
    435.84x = 257,006.66
  5. Step 5: Solve for x
    x = 257,006.66/435.84
  6. Step 6: Final answer
    x = 589.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.