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Finding the Fourth Proportional to 465.14, 642 and 288.14

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Solution

The fourth proportional to 465.14, 642 and 288.14 is: 397.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.14 : 642 = 288.14 : x
  2. Step 2: Convert to fraction form
    465.14/642 = 288.14/x
  3. Step 3: Cross multiply
    465.14x = 642 × 288.14
  4. Step 4: Simplify right side
    465.14x = 184,985.88
  5. Step 5: Solve for x
    x = 184,985.88/465.14
  6. Step 6: Final answer
    x = 397.70

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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.