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Finding the Fourth Proportional to 582.04, 873.06 and 325.24

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Solution

The fourth proportional to 582.04, 873.06 and 325.24 is: 487.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.04 : 873.06 = 325.24 : x
  2. Step 2: Convert to fraction form
    582.04/873.06 = 325.24/x
  3. Step 3: Cross multiply
    582.04x = 873.06 × 325.24
  4. Step 4: Simplify right side
    582.04x = 283,954.03
  5. Step 5: Solve for x
    x = 283,954.03/582.04
  6. Step 6: Final answer
    x = 487.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.