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Finding the Fourth Proportional to 521.14, 719.14 and 288.25

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Solution

The fourth proportional to 521.14, 719.14 and 288.25 is: 397.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.14 : 719.14 = 288.25 : x
  2. Step 2: Convert to fraction form
    521.14/719.14 = 288.25/x
  3. Step 3: Cross multiply
    521.14x = 719.14 × 288.25
  4. Step 4: Simplify right side
    521.14x = 207,292.11
  5. Step 5: Solve for x
    x = 207,292.11/521.14
  6. Step 6: Final answer
    x = 397.77

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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.