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Finding the Fourth Proportional to 480.04, 661.80 and 397.12

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Solution

The fourth proportional to 480.04, 661.80 and 397.12 is: 547.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.04 : 661.80 = 397.12 : x
  2. Step 2: Convert to fraction form
    480.04/661.80 = 397.12/x
  3. Step 3: Cross multiply
    480.04x = 661.80 × 397.12
  4. Step 4: Simplify right side
    480.04x = 262,814.02
  5. Step 5: Solve for x
    x = 262,814.02/480.04
  6. Step 6: Final answer
    x = 547.48

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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.