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Finding the Fourth Proportional to 550.64, 760.20 and 434.72

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Solution

The fourth proportional to 550.64, 760.20 and 434.72 is: 600.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.64 : 760.20 = 434.72 : x
  2. Step 2: Convert to fraction form
    550.64/760.20 = 434.72/x
  3. Step 3: Cross multiply
    550.64x = 760.20 × 434.72
  4. Step 4: Simplify right side
    550.64x = 330,474.14
  5. Step 5: Solve for x
    x = 330,474.14/550.64
  6. Step 6: Final answer
    x = 600.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.