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Finding the Fourth Proportional to 521.16, 719.21 and 288.28

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Solution

The fourth proportional to 521.16, 719.21 and 288.28 is: 397.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.16 : 719.21 = 288.28 : x
  2. Step 2: Convert to fraction form
    521.16/719.21 = 288.28/x
  3. Step 3: Cross multiply
    521.16x = 719.21 × 288.28
  4. Step 4: Simplify right side
    521.16x = 207,335.48
  5. Step 5: Solve for x
    x = 207,335.48/521.16
  6. Step 6: Final answer
    x = 397.84

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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.