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Finding the Fourth Proportional to 332.37, 457.65 and 283.14

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Solution

The fourth proportional to 332.37, 457.65 and 283.14 is: 389.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.37 : 457.65 = 283.14 : x
  2. Step 2: Convert to fraction form
    332.37/457.65 = 283.14/x
  3. Step 3: Cross multiply
    332.37x = 457.65 × 283.14
  4. Step 4: Simplify right side
    332.37x = 129,579.02
  5. Step 5: Solve for x
    x = 129,579.02/332.37
  6. Step 6: Final answer
    x = 389.86

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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.