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Finding the Fourth Proportional to 518.12, 714.90 and 294.06

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Solution

The fourth proportional to 518.12, 714.90 and 294.06 is: 405.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.12 : 714.90 = 294.06 : x
  2. Step 2: Convert to fraction form
    518.12/714.90 = 294.06/x
  3. Step 3: Cross multiply
    518.12x = 714.90 × 294.06
  4. Step 4: Simplify right side
    518.12x = 210,223.49
  5. Step 5: Solve for x
    x = 210,223.49/518.12
  6. Step 6: Final answer
    x = 405.74

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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.