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Finding the Fourth Proportional to 538.48, 806.10 and 457.48

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Solution

The fourth proportional to 538.48, 806.10 and 457.48 is: 684.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.48 : 806.10 = 457.48 : x
  2. Step 2: Convert to fraction form
    538.48/806.10 = 457.48/x
  3. Step 3: Cross multiply
    538.48x = 806.10 × 457.48
  4. Step 4: Simplify right side
    538.48x = 368,774.63
  5. Step 5: Solve for x
    x = 368,774.63/538.48
  6. Step 6: Final answer
    x = 684.84

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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.