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Finding the Fourth Proportional to 506.61, 760.10 and 214.19

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Solution

The fourth proportional to 506.61, 760.10 and 214.19 is: 321.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.61 : 760.10 = 214.19 : x
  2. Step 2: Convert to fraction form
    506.61/760.10 = 214.19/x
  3. Step 3: Cross multiply
    506.61x = 760.10 × 214.19
  4. Step 4: Simplify right side
    506.61x = 162,802.02
  5. Step 5: Solve for x
    x = 162,802.02/506.61
  6. Step 6: Final answer
    x = 321.36

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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.