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Finding the Fourth Proportional to 367.35, 507 and 210

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Solution

The fourth proportional to 367.35, 507 and 210 is: 289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.35 : 507 = 210 : x
  2. Step 2: Convert to fraction form
    367.35/507 = 210/x
  3. Step 3: Cross multiply
    367.35x = 507 × 210
  4. Step 4: Simplify right side
    367.35x = 106,470
  5. Step 5: Solve for x
    x = 106,470/367.35
  6. Step 6: Final answer
    x = 289.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.