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Finding the Fourth Proportional to 582.32, 873.12 and 293.60

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Solution

The fourth proportional to 582.32, 873.12 and 293.60 is: 440.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.32 : 873.12 = 293.60 : x
  2. Step 2: Convert to fraction form
    582.32/873.12 = 293.60/x
  3. Step 3: Cross multiply
    582.32x = 873.12 × 293.60
  4. Step 4: Simplify right side
    582.32x = 256,348.03
  5. Step 5: Solve for x
    x = 256,348.03/582.32
  6. Step 6: Final answer
    x = 440.22

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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.