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Finding the Fourth Proportional to 465.88, 697.70 and 282.82

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Solution

The fourth proportional to 465.88, 697.70 and 282.82 is: 423.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.88 : 697.70 = 282.82 : x
  2. Step 2: Convert to fraction form
    465.88/697.70 = 282.82/x
  3. Step 3: Cross multiply
    465.88x = 697.70 × 282.82
  4. Step 4: Simplify right side
    465.88x = 197,323.51
  5. Step 5: Solve for x
    x = 197,323.51/465.88
  6. Step 6: Final answer
    x = 423.55

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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.