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Finding the Fourth Proportional to 521.32, 719.44 and 300.28

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Solution

The fourth proportional to 521.32, 719.44 and 300.28 is: 414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.32 : 719.44 = 300.28 : x
  2. Step 2: Convert to fraction form
    521.32/719.44 = 300.28/x
  3. Step 3: Cross multiply
    521.32x = 719.44 × 300.28
  4. Step 4: Simplify right side
    521.32x = 216,033.44
  5. Step 5: Solve for x
    x = 216,033.44/521.32
  6. Step 6: Final answer
    x = 414.40

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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.