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Finding the Fourth Proportional to 457.05, 630.77 and 282.36

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Solution

The fourth proportional to 457.05, 630.77 and 282.36 is: 389.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.05 : 630.77 = 282.36 : x
  2. Step 2: Convert to fraction form
    457.05/630.77 = 282.36/x
  3. Step 3: Cross multiply
    457.05x = 630.77 × 282.36
  4. Step 4: Simplify right side
    457.05x = 178,102.81
  5. Step 5: Solve for x
    x = 178,102.81/457.05
  6. Step 6: Final answer
    x = 389.68

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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.