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Finding the Fourth Proportional to 582.39, 873.64 and 217.10

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Solution

The fourth proportional to 582.39, 873.64 and 217.10 is: 325.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.39 : 873.64 = 217.10 : x
  2. Step 2: Convert to fraction form
    582.39/873.64 = 217.10/x
  3. Step 3: Cross multiply
    582.39x = 873.64 × 217.10
  4. Step 4: Simplify right side
    582.39x = 189,667.24
  5. Step 5: Solve for x
    x = 189,667.24/582.39
  6. Step 6: Final answer
    x = 325.67

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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.