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Finding the Fourth Proportional to 506.02, 698.16 and 340.42

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Solution

The fourth proportional to 506.02, 698.16 and 340.42 is: 469.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.02 : 698.16 = 340.42 : x
  2. Step 2: Convert to fraction form
    506.02/698.16 = 340.42/x
  3. Step 3: Cross multiply
    506.02x = 698.16 × 340.42
  4. Step 4: Simplify right side
    506.02x = 237,667.63
  5. Step 5: Solve for x
    x = 237,667.63/506.02
  6. Step 6: Final answer
    x = 469.68

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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.