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Finding the Fourth Proportional to 557.25, 836.58 and 480.69

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Solution

The fourth proportional to 557.25, 836.58 and 480.69 is: 721.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.25 : 836.58 = 480.69 : x
  2. Step 2: Convert to fraction form
    557.25/836.58 = 480.69/x
  3. Step 3: Cross multiply
    557.25x = 836.58 × 480.69
  4. Step 4: Simplify right side
    557.25x = 402,135.64
  5. Step 5: Solve for x
    x = 402,135.64/557.25
  6. Step 6: Final answer
    x = 721.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.