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Finding the Fourth Proportional to 518.05, 714.88 and 297.07

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Solution

The fourth proportional to 518.05, 714.88 and 297.07 is: 409.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.05 : 714.88 = 297.07 : x
  2. Step 2: Convert to fraction form
    518.05/714.88 = 297.07/x
  3. Step 3: Cross multiply
    518.05x = 714.88 × 297.07
  4. Step 4: Simplify right side
    518.05x = 212,366.31
  5. Step 5: Solve for x
    x = 212,366.31/518.05
  6. Step 6: Final answer
    x = 409.94

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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.