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Finding the Fourth Proportional to 629.79, 946.86 and 508.89

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Solution

The fourth proportional to 629.79, 946.86 and 508.89 is: 765.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.79 : 946.86 = 508.89 : x
  2. Step 2: Convert to fraction form
    629.79/946.86 = 508.89/x
  3. Step 3: Cross multiply
    629.79x = 946.86 × 508.89
  4. Step 4: Simplify right side
    629.79x = 481,849.23
  5. Step 5: Solve for x
    x = 481,849.23/629.79
  6. Step 6: Final answer
    x = 765.10

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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.