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Finding the Fourth Proportional to 518.11, 714.93 and 294.05

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Solution

The fourth proportional to 518.11, 714.93 and 294.05 is: 405.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.11 : 714.93 = 294.05 : x
  2. Step 2: Convert to fraction form
    518.11/714.93 = 294.05/x
  3. Step 3: Cross multiply
    518.11x = 714.93 × 294.05
  4. Step 4: Simplify right side
    518.11x = 210,225.17
  5. Step 5: Solve for x
    x = 210,225.17/518.11
  6. Step 6: Final answer
    x = 405.76

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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.