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Finding the Fourth Proportional to 471.36, 707.64 and 286.68

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Solution

The fourth proportional to 471.36, 707.64 and 286.68 is: 430.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.36 : 707.64 = 286.68 : x
  2. Step 2: Convert to fraction form
    471.36/707.64 = 286.68/x
  3. Step 3: Cross multiply
    471.36x = 707.64 × 286.68
  4. Step 4: Simplify right side
    471.36x = 202,866.24
  5. Step 5: Solve for x
    x = 202,866.24/471.36
  6. Step 6: Final answer
    x = 430.38

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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.