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Finding the Fourth Proportional to 401.64, 553.54 and 303.16

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Solution

The fourth proportional to 401.64, 553.54 and 303.16 is: 417.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.64 : 553.54 = 303.16 : x
  2. Step 2: Convert to fraction form
    401.64/553.54 = 303.16/x
  3. Step 3: Cross multiply
    401.64x = 553.54 × 303.16
  4. Step 4: Simplify right side
    401.64x = 167,811.19
  5. Step 5: Solve for x
    x = 167,811.19/401.64
  6. Step 6: Final answer
    x = 417.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.