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Finding the Fourth Proportional to 332.57, 497.73 and 256.07

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Solution

The fourth proportional to 332.57, 497.73 and 256.07 is: 383.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.57 : 497.73 = 256.07 : x
  2. Step 2: Convert to fraction form
    332.57/497.73 = 256.07/x
  3. Step 3: Cross multiply
    332.57x = 497.73 × 256.07
  4. Step 4: Simplify right side
    332.57x = 127,453.72
  5. Step 5: Solve for x
    x = 127,453.72/332.57
  6. Step 6: Final answer
    x = 383.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.