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Finding the Fourth Proportional to 354.24, 531.76 and 210

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Solution

The fourth proportional to 354.24, 531.76 and 210 is: 315.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.24 : 531.76 = 210 : x
  2. Step 2: Convert to fraction form
    354.24/531.76 = 210/x
  3. Step 3: Cross multiply
    354.24x = 531.76 × 210
  4. Step 4: Simplify right side
    354.24x = 111,669.60
  5. Step 5: Solve for x
    x = 111,669.60/354.24
  6. Step 6: Final answer
    x = 315.24

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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.