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Finding the Fourth Proportional to 368.07, 507.92 and 210.71

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Solution

The fourth proportional to 368.07, 507.92 and 210.71 is: 290.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.07 : 507.92 = 210.71 : x
  2. Step 2: Convert to fraction form
    368.07/507.92 = 210.71/x
  3. Step 3: Cross multiply
    368.07x = 507.92 × 210.71
  4. Step 4: Simplify right side
    368.07x = 107,025.62
  5. Step 5: Solve for x
    x = 107,025.62/368.07
  6. Step 6: Final answer
    x = 290.78

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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.