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Finding the Fourth Proportional to 410.76, 566.60 and 255.51

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Solution

The fourth proportional to 410.76, 566.60 and 255.51 is: 352.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.76 : 566.60 = 255.51 : x
  2. Step 2: Convert to fraction form
    410.76/566.60 = 255.51/x
  3. Step 3: Cross multiply
    410.76x = 566.60 × 255.51
  4. Step 4: Simplify right side
    410.76x = 144,770.69
  5. Step 5: Solve for x
    x = 144,770.69/410.76
  6. Step 6: Final answer
    x = 352.45

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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.