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Finding the Fourth Proportional to 507.39, 760.82 and 214.80

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Solution

The fourth proportional to 507.39, 760.82 and 214.80 is: 322.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.39 : 760.82 = 214.80 : x
  2. Step 2: Convert to fraction form
    507.39/760.82 = 214.80/x
  3. Step 3: Cross multiply
    507.39x = 760.82 × 214.80
  4. Step 4: Simplify right side
    507.39x = 163,423.06
  5. Step 5: Solve for x
    x = 163,423.06/507.39
  6. Step 6: Final answer
    x = 322.09

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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.