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Finding the Fourth Proportional to 575.52, 864.48 and 453.60

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Solution

The fourth proportional to 575.52, 864.48 and 453.60 is: 681.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.52 : 864.48 = 453.60 : x
  2. Step 2: Convert to fraction form
    575.52/864.48 = 453.60/x
  3. Step 3: Cross multiply
    575.52x = 864.48 × 453.60
  4. Step 4: Simplify right side
    575.52x = 392,128.13
  5. Step 5: Solve for x
    x = 392,128.13/575.52
  6. Step 6: Final answer
    x = 681.35

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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.