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Finding the Fourth Proportional to 582.99, 873.81 and 309.21

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Solution

The fourth proportional to 582.99, 873.81 and 309.21 is: 463.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.99 : 873.81 = 309.21 : x
  2. Step 2: Convert to fraction form
    582.99/873.81 = 309.21/x
  3. Step 3: Cross multiply
    582.99x = 873.81 × 309.21
  4. Step 4: Simplify right side
    582.99x = 270,190.79
  5. Step 5: Solve for x
    x = 270,190.79/582.99
  6. Step 6: Final answer
    x = 463.46

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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.