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Finding the Fourth Proportional to 465.12, 696.78 and 362.37

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Solution

The fourth proportional to 465.12, 696.78 and 362.37 is: 542.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.12 : 696.78 = 362.37 : x
  2. Step 2: Convert to fraction form
    465.12/696.78 = 362.37/x
  3. Step 3: Cross multiply
    465.12x = 696.78 × 362.37
  4. Step 4: Simplify right side
    465.12x = 252,492.17
  5. Step 5: Solve for x
    x = 252,492.17/465.12
  6. Step 6: Final answer
    x = 542.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.