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Finding the Fourth Proportional to 480.07, 661.16 and 446.05

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Solution

The fourth proportional to 480.07, 661.16 and 446.05 is: 614.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.07 : 661.16 = 446.05 : x
  2. Step 2: Convert to fraction form
    480.07/661.16 = 446.05/x
  3. Step 3: Cross multiply
    480.07x = 661.16 × 446.05
  4. Step 4: Simplify right side
    480.07x = 294,904.88
  5. Step 5: Solve for x
    x = 294,904.88/480.07
  6. Step 6: Final answer
    x = 614.30

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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.