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Finding the Fourth Proportional to 582.16, 873.01 and 216.87

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Solution

The fourth proportional to 582.16, 873.01 and 216.87 is: 325.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.16 : 873.01 = 216.87 : x
  2. Step 2: Convert to fraction form
    582.16/873.01 = 216.87/x
  3. Step 3: Cross multiply
    582.16x = 873.01 × 216.87
  4. Step 4: Simplify right side
    582.16x = 189,329.68
  5. Step 5: Solve for x
    x = 189,329.68/582.16
  6. Step 6: Final answer
    x = 325.22

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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.