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Finding the Fourth Proportional to 513.66, 769.40 and 476.94

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Solution

The fourth proportional to 513.66, 769.40 and 476.94 is: 714.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.66 : 769.40 = 476.94 : x
  2. Step 2: Convert to fraction form
    513.66/769.40 = 476.94/x
  3. Step 3: Cross multiply
    513.66x = 769.40 × 476.94
  4. Step 4: Simplify right side
    513.66x = 366,957.64
  5. Step 5: Solve for x
    x = 366,957.64/513.66
  6. Step 6: Final answer
    x = 714.40

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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.