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Finding the Fourth Proportional to 355.70, 531.36 and 257.42

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Solution

The fourth proportional to 355.70, 531.36 and 257.42 is: 384.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.70 : 531.36 = 257.42 : x
  2. Step 2: Convert to fraction form
    355.70/531.36 = 257.42/x
  3. Step 3: Cross multiply
    355.70x = 531.36 × 257.42
  4. Step 4: Simplify right side
    355.70x = 136,784.02
  5. Step 5: Solve for x
    x = 136,784.02/355.70
  6. Step 6: Final answer
    x = 384.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.