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Finding the Fourth Proportional to 421.99, 582.59 and 282.57

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Solution

The fourth proportional to 421.99, 582.59 and 282.57 is: 390.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.99 : 582.59 = 282.57 : x
  2. Step 2: Convert to fraction form
    421.99/582.59 = 282.57/x
  3. Step 3: Cross multiply
    421.99x = 582.59 × 282.57
  4. Step 4: Simplify right side
    421.99x = 164,622.46
  5. Step 5: Solve for x
    x = 164,622.46/421.99
  6. Step 6: Final answer
    x = 390.11

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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.