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Finding the Fourth Proportional to 457.25, 684.65 and 374.63

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Solution

The fourth proportional to 457.25, 684.65 and 374.63 is: 560.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.25 : 684.65 = 374.63 : x
  2. Step 2: Convert to fraction form
    457.25/684.65 = 374.63/x
  3. Step 3: Cross multiply
    457.25x = 684.65 × 374.63
  4. Step 4: Simplify right side
    457.25x = 256,487.94
  5. Step 5: Solve for x
    x = 256,487.94/457.25
  6. Step 6: Final answer
    x = 560.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.