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Finding the Fourth Proportional to 410.36, 566.29 and 235.69

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Solution

The fourth proportional to 410.36, 566.29 and 235.69 is: 325.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.36 : 566.29 = 235.69 : x
  2. Step 2: Convert to fraction form
    410.36/566.29 = 235.69/x
  3. Step 3: Cross multiply
    410.36x = 566.29 × 235.69
  4. Step 4: Simplify right side
    410.36x = 133,467.77
  5. Step 5: Solve for x
    x = 133,467.77/410.36
  6. Step 6: Final answer
    x = 325.25

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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.