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Finding the Fourth Proportional to 288, 434.16 and 283.68

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Solution

The fourth proportional to 288, 434.16 and 283.68 is: 427.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    288 : 434.16 = 283.68 : x
  2. Step 2: Convert to fraction form
    288/434.16 = 283.68/x
  3. Step 3: Cross multiply
    288x = 434.16 × 283.68
  4. Step 4: Simplify right side
    288x = 123,162.51
  5. Step 5: Solve for x
    x = 123,162.51/288
  6. Step 6: Final answer
    x = 427.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.