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Finding the Fourth Proportional to 457, 630.58 and 257.82

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Solution

The fourth proportional to 457, 630.58 and 257.82 is: 355.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    457 : 630.58 = 257.82 : x
  2. Step 2: Convert to fraction form
    457/630.58 = 257.82/x
  3. Step 3: Cross multiply
    457x = 630.58 × 257.82
  4. Step 4: Simplify right side
    457x = 162,576.14
  5. Step 5: Solve for x
    x = 162,576.14/457
  6. Step 6: Final answer
    x = 355.75

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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.