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Finding the Fourth Proportional to 570.77, 787.64 and 334.69

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Solution

The fourth proportional to 570.77, 787.64 and 334.69 is: 461.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.77 : 787.64 = 334.69 : x
  2. Step 2: Convert to fraction form
    570.77/787.64 = 334.69/x
  3. Step 3: Cross multiply
    570.77x = 787.64 × 334.69
  4. Step 4: Simplify right side
    570.77x = 263,609.62
  5. Step 5: Solve for x
    x = 263,609.62/570.77
  6. Step 6: Final answer
    x = 461.85

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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.