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Finding the Fourth Proportional to 332.88, 498.36 and 256.14

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Solution

The fourth proportional to 332.88, 498.36 and 256.14 is: 383.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.88 : 498.36 = 256.14 : x
  2. Step 2: Convert to fraction form
    332.88/498.36 = 256.14/x
  3. Step 3: Cross multiply
    332.88x = 498.36 × 256.14
  4. Step 4: Simplify right side
    332.88x = 127,649.93
  5. Step 5: Solve for x
    x = 127,649.93/332.88
  6. Step 6: Final answer
    x = 383.47

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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.