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Finding the Fourth Proportional to 926.16, 1,388.64 and 301.20

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Solution

The fourth proportional to 926.16, 1,388.64 and 301.20 is: 451.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.16 : 1,388.64 = 301.20 : x
  2. Step 2: Convert to fraction form
    926.16/1,388.64 = 301.20/x
  3. Step 3: Cross multiply
    926.16x = 1,388.64 × 301.20
  4. Step 4: Simplify right side
    926.16x = 418,258.37
  5. Step 5: Solve for x
    x = 418,258.37/926.16
  6. Step 6: Final answer
    x = 451.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.