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Finding the Fourth Proportional to 296.34, 410.14 and 255.04

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Solution

The fourth proportional to 296.34, 410.14 and 255.04 is: 352.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.34 : 410.14 = 255.04 : x
  2. Step 2: Convert to fraction form
    296.34/410.14 = 255.04/x
  3. Step 3: Cross multiply
    296.34x = 410.14 × 255.04
  4. Step 4: Simplify right side
    296.34x = 104,602.11
  5. Step 5: Solve for x
    x = 104,602.11/296.34
  6. Step 6: Final answer
    x = 352.98

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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.