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Finding the Fourth Proportional to 581.94, 873.18 and 322.14

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Solution

The fourth proportional to 581.94, 873.18 and 322.14 is: 483.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.94 : 873.18 = 322.14 : x
  2. Step 2: Convert to fraction form
    581.94/873.18 = 322.14/x
  3. Step 3: Cross multiply
    581.94x = 873.18 × 322.14
  4. Step 4: Simplify right side
    581.94x = 281,286.21
  5. Step 5: Solve for x
    x = 281,286.21/581.94
  6. Step 6: Final answer
    x = 483.36

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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.