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Finding the Fourth Proportional to 365.64, 503.28 and 353.16

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Solution

The fourth proportional to 365.64, 503.28 and 353.16 is: 486.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.64 : 503.28 = 353.16 : x
  2. Step 2: Convert to fraction form
    365.64/503.28 = 353.16/x
  3. Step 3: Cross multiply
    365.64x = 503.28 × 353.16
  4. Step 4: Simplify right side
    365.64x = 177,738.36
  5. Step 5: Solve for x
    x = 177,738.36/365.64
  6. Step 6: Final answer
    x = 486.10

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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.