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Finding the Fourth Proportional to 457.02, 629.74 and 407.37

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Solution

The fourth proportional to 457.02, 629.74 and 407.37 is: 561.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.02 : 629.74 = 407.37 : x
  2. Step 2: Convert to fraction form
    457.02/629.74 = 407.37/x
  3. Step 3: Cross multiply
    457.02x = 629.74 × 407.37
  4. Step 4: Simplify right side
    457.02x = 256,537.18
  5. Step 5: Solve for x
    x = 256,537.18/457.02
  6. Step 6: Final answer
    x = 561.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.