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Finding the Fourth Proportional to 506.96, 759.58 and 429.91

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Solution

The fourth proportional to 506.96, 759.58 and 429.91 is: 644.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.96 : 759.58 = 429.91 : x
  2. Step 2: Convert to fraction form
    506.96/759.58 = 429.91/x
  3. Step 3: Cross multiply
    506.96x = 759.58 × 429.91
  4. Step 4: Simplify right side
    506.96x = 326,548.06
  5. Step 5: Solve for x
    x = 326,548.06/506.96
  6. Step 6: Final answer
    x = 644.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.