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Finding the Fourth Proportional to 283.30, 390.12 and 264.16

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Solution

The fourth proportional to 283.30, 390.12 and 264.16 is: 363.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.30 : 390.12 = 264.16 : x
  2. Step 2: Convert to fraction form
    283.30/390.12 = 264.16/x
  3. Step 3: Cross multiply
    283.30x = 390.12 × 264.16
  4. Step 4: Simplify right side
    283.30x = 103,053.60
  5. Step 5: Solve for x
    x = 103,053.60/283.30
  6. Step 6: Final answer
    x = 363.76

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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.