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Finding the Fourth Proportional to 480.05, 720.08 and 317.70

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Solution

The fourth proportional to 480.05, 720.08 and 317.70 is: 476.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.05 : 720.08 = 317.70 : x
  2. Step 2: Convert to fraction form
    480.05/720.08 = 317.70/x
  3. Step 3: Cross multiply
    480.05x = 720.08 × 317.70
  4. Step 4: Simplify right side
    480.05x = 228,767.72
  5. Step 5: Solve for x
    x = 228,767.72/480.05
  6. Step 6: Final answer
    x = 476.55

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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.