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Finding the Fourth Proportional to 497.38, 686.40 and 340.34

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Solution

The fourth proportional to 497.38, 686.40 and 340.34 is: 469.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.38 : 686.40 = 340.34 : x
  2. Step 2: Convert to fraction form
    497.38/686.40 = 340.34/x
  3. Step 3: Cross multiply
    497.38x = 686.40 × 340.34
  4. Step 4: Simplify right side
    497.38x = 233,604.24
  5. Step 5: Solve for x
    x = 233,604.24/497.38
  6. Step 6: Final answer
    x = 469.67

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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.