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Finding the Fourth Proportional to 296.64, 410.32 and 262.24

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Solution

The fourth proportional to 296.64, 410.32 and 262.24 is: 362.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.64 : 410.32 = 262.24 : x
  2. Step 2: Convert to fraction form
    296.64/410.32 = 262.24/x
  3. Step 3: Cross multiply
    296.64x = 410.32 × 262.24
  4. Step 4: Simplify right side
    296.64x = 107,602.32
  5. Step 5: Solve for x
    x = 107,602.32/296.64
  6. Step 6: Final answer
    x = 362.74

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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.