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Finding the Fourth Proportional to 806.48, 1,210.16 and 319.87

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Solution

The fourth proportional to 806.48, 1,210.16 and 319.87 is: 479.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.48 : 1,210.16 = 319.87 : x
  2. Step 2: Convert to fraction form
    806.48/1,210.16 = 319.87/x
  3. Step 3: Cross multiply
    806.48x = 1,210.16 × 319.87
  4. Step 4: Simplify right side
    806.48x = 387,093.88
  5. Step 5: Solve for x
    x = 387,093.88/806.48
  6. Step 6: Final answer
    x = 479.98

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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.