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Finding the Fourth Proportional to 518.02, 714.68 and 296.94

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Solution

The fourth proportional to 518.02, 714.68 and 296.94 is: 409.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.02 : 714.68 = 296.94 : x
  2. Step 2: Convert to fraction form
    518.02/714.68 = 296.94/x
  3. Step 3: Cross multiply
    518.02x = 714.68 × 296.94
  4. Step 4: Simplify right side
    518.02x = 212,217.08
  5. Step 5: Solve for x
    x = 212,217.08/518.02
  6. Step 6: Final answer
    x = 409.67

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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.