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Finding the Fourth Proportional to 550.48, 760.44 and 432.76

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Solution

The fourth proportional to 550.48, 760.44 and 432.76 is: 597.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.48 : 760.44 = 432.76 : x
  2. Step 2: Convert to fraction form
    550.48/760.44 = 432.76/x
  3. Step 3: Cross multiply
    550.48x = 760.44 × 432.76
  4. Step 4: Simplify right side
    550.48x = 329,088.01
  5. Step 5: Solve for x
    x = 329,088.01/550.48
  6. Step 6: Final answer
    x = 597.82

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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.