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Finding the Fourth Proportional to 582.56, 873.84 and 197.84

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Solution

The fourth proportional to 582.56, 873.84 and 197.84 is: 296.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.56 : 873.84 = 197.84 : x
  2. Step 2: Convert to fraction form
    582.56/873.84 = 197.84/x
  3. Step 3: Cross multiply
    582.56x = 873.84 × 197.84
  4. Step 4: Simplify right side
    582.56x = 172,880.51
  5. Step 5: Solve for x
    x = 172,880.51/582.56
  6. Step 6: Final answer
    x = 296.76

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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.