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Finding the Fourth Proportional to 504.71, 756.51 and 212.13

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Solution

The fourth proportional to 504.71, 756.51 and 212.13 is: 317.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.71 : 756.51 = 212.13 : x
  2. Step 2: Convert to fraction form
    504.71/756.51 = 212.13/x
  3. Step 3: Cross multiply
    504.71x = 756.51 × 212.13
  4. Step 4: Simplify right side
    504.71x = 160,477.33
  5. Step 5: Solve for x
    x = 160,477.33/504.71
  6. Step 6: Final answer
    x = 317.96

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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.