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Finding the Fourth Proportional to 557.52, 839.04 and 460.80

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Solution

The fourth proportional to 557.52, 839.04 and 460.80 is: 693.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.52 : 839.04 = 460.80 : x
  2. Step 2: Convert to fraction form
    557.52/839.04 = 460.80/x
  3. Step 3: Cross multiply
    557.52x = 839.04 × 460.80
  4. Step 4: Simplify right side
    557.52x = 386,629.63
  5. Step 5: Solve for x
    x = 386,629.63/557.52
  6. Step 6: Final answer
    x = 693.48

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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.