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Finding the Fourth Proportional to 332.02, 457.68 and 282.70

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Solution

The fourth proportional to 332.02, 457.68 and 282.70 is: 389.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.02 : 457.68 = 282.70 : x
  2. Step 2: Convert to fraction form
    332.02/457.68 = 282.70/x
  3. Step 3: Cross multiply
    332.02x = 457.68 × 282.70
  4. Step 4: Simplify right side
    332.02x = 129,386.14
  5. Step 5: Solve for x
    x = 129,386.14/332.02
  6. Step 6: Final answer
    x = 389.69

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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.