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Finding the Fourth Proportional to 514.04, 710.16 and 382.82

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Solution

The fourth proportional to 514.04, 710.16 and 382.82 is: 528.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.04 : 710.16 = 382.82 : x
  2. Step 2: Convert to fraction form
    514.04/710.16 = 382.82/x
  3. Step 3: Cross multiply
    514.04x = 710.16 × 382.82
  4. Step 4: Simplify right side
    514.04x = 271,863.45
  5. Step 5: Solve for x
    x = 271,863.45/514.04
  6. Step 6: Final answer
    x = 528.88

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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.