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Finding the Fourth Proportional to 477.63, 716.45 and 382.05

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Solution

The fourth proportional to 477.63, 716.45 and 382.05 is: 573.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.63 : 716.45 = 382.05 : x
  2. Step 2: Convert to fraction form
    477.63/716.45 = 382.05/x
  3. Step 3: Cross multiply
    477.63x = 716.45 × 382.05
  4. Step 4: Simplify right side
    477.63x = 273,717.81
  5. Step 5: Solve for x
    x = 273,717.81/477.63
  6. Step 6: Final answer
    x = 573.08

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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.