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Finding the Fourth Proportional to 506.79, 698.36 and 429.03

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Solution

The fourth proportional to 506.79, 698.36 and 429.03 is: 591.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.79 : 698.36 = 429.03 : x
  2. Step 2: Convert to fraction form
    506.79/698.36 = 429.03/x
  3. Step 3: Cross multiply
    506.79x = 698.36 × 429.03
  4. Step 4: Simplify right side
    506.79x = 299,615.25
  5. Step 5: Solve for x
    x = 299,615.25/506.79
  6. Step 6: Final answer
    x = 591.20

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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.