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Finding the Fourth Proportional to 582.50, 802.09 and 499.41

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Solution

The fourth proportional to 582.50, 802.09 and 499.41 is: 687.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.50 : 802.09 = 499.41 : x
  2. Step 2: Convert to fraction form
    582.50/802.09 = 499.41/x
  3. Step 3: Cross multiply
    582.50x = 802.09 × 499.41
  4. Step 4: Simplify right side
    582.50x = 400,571.77
  5. Step 5: Solve for x
    x = 400,571.77/582.50
  6. Step 6: Final answer
    x = 687.68

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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.