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Finding the Fourth Proportional to 582.49, 873.84 and 192.63

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Solution

The fourth proportional to 582.49, 873.84 and 192.63 is: 288.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.49 : 873.84 = 192.63 : x
  2. Step 2: Convert to fraction form
    582.49/873.84 = 192.63/x
  3. Step 3: Cross multiply
    582.49x = 873.84 × 192.63
  4. Step 4: Simplify right side
    582.49x = 168,325.80
  5. Step 5: Solve for x
    x = 168,325.80/582.49
  6. Step 6: Final answer
    x = 288.98

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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.