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Finding the Fourth Proportional to 480.52, 661.93 and 414.10

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Solution

The fourth proportional to 480.52, 661.93 and 414.10 is: 570.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.52 : 661.93 = 414.10 : x
  2. Step 2: Convert to fraction form
    480.52/661.93 = 414.10/x
  3. Step 3: Cross multiply
    480.52x = 661.93 × 414.10
  4. Step 4: Simplify right side
    480.52x = 274,105.21
  5. Step 5: Solve for x
    x = 274,105.21/480.52
  6. Step 6: Final answer
    x = 570.43

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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.