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Finding the Fourth Proportional to 561.24, 842.10 and 214.67

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Solution

The fourth proportional to 561.24, 842.10 and 214.67 is: 322.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.24 : 842.10 = 214.67 : x
  2. Step 2: Convert to fraction form
    561.24/842.10 = 214.67/x
  3. Step 3: Cross multiply
    561.24x = 842.10 × 214.67
  4. Step 4: Simplify right side
    561.24x = 180,775.71
  5. Step 5: Solve for x
    x = 180,775.71/561.24
  6. Step 6: Final answer
    x = 322.10

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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.