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Finding the Fourth Proportional to 465.74, 697.57 and 362.86

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Solution

The fourth proportional to 465.74, 697.57 and 362.86 is: 543.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.74 : 697.57 = 362.86 : x
  2. Step 2: Convert to fraction form
    465.74/697.57 = 362.86/x
  3. Step 3: Cross multiply
    465.74x = 697.57 × 362.86
  4. Step 4: Simplify right side
    465.74x = 253,120.25
  5. Step 5: Solve for x
    x = 253,120.25/465.74
  6. Step 6: Final answer
    x = 543.48

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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.