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Finding the Fourth Proportional to 505.16, 756.52 and 257.72

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Solution

The fourth proportional to 505.16, 756.52 and 257.72 is: 385.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.16 : 756.52 = 257.72 : x
  2. Step 2: Convert to fraction form
    505.16/756.52 = 257.72/x
  3. Step 3: Cross multiply
    505.16x = 756.52 × 257.72
  4. Step 4: Simplify right side
    505.16x = 194,970.33
  5. Step 5: Solve for x
    x = 194,970.33/505.16
  6. Step 6: Final answer
    x = 385.96

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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.