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Finding the Fourth Proportional to 582.48, 872.91 and 419.67

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Solution

The fourth proportional to 582.48, 872.91 and 419.67 is: 628.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.48 : 872.91 = 419.67 : x
  2. Step 2: Convert to fraction form
    582.48/872.91 = 419.67/x
  3. Step 3: Cross multiply
    582.48x = 872.91 × 419.67
  4. Step 4: Simplify right side
    582.48x = 366,334.14
  5. Step 5: Solve for x
    x = 366,334.14/582.48
  6. Step 6: Final answer
    x = 628.92

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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.