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Finding the Fourth Proportional to 410.54, 566.64 and 253.26

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Solution

The fourth proportional to 410.54, 566.64 and 253.26 is: 349.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.54 : 566.64 = 253.26 : x
  2. Step 2: Convert to fraction form
    410.54/566.64 = 253.26/x
  3. Step 3: Cross multiply
    410.54x = 566.64 × 253.26
  4. Step 4: Simplify right side
    410.54x = 143,507.25
  5. Step 5: Solve for x
    x = 143,507.25/410.54
  6. Step 6: Final answer
    x = 349.56

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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.