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Finding the Fourth Proportional to 400.64, 552.35 and 253.28

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Solution

The fourth proportional to 400.64, 552.35 and 253.28 is: 349.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.64 : 552.35 = 253.28 : x
  2. Step 2: Convert to fraction form
    400.64/552.35 = 253.28/x
  3. Step 3: Cross multiply
    400.64x = 552.35 × 253.28
  4. Step 4: Simplify right side
    400.64x = 139,901.22
  5. Step 5: Solve for x
    x = 139,901.22/400.64
  6. Step 6: Final answer
    x = 349.20

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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.