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Finding the Fourth Proportional to 517.99, 714.75 and 296.90

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Solution

The fourth proportional to 517.99, 714.75 and 296.90 is: 409.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.99 : 714.75 = 296.90 : x
  2. Step 2: Convert to fraction form
    517.99/714.75 = 296.90/x
  3. Step 3: Cross multiply
    517.99x = 714.75 × 296.90
  4. Step 4: Simplify right side
    517.99x = 212,204.22
  5. Step 5: Solve for x
    x = 212,204.22/517.99
  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.