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Finding the Fourth Proportional to 556.80, 830.28 and 480.26

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Solution

The fourth proportional to 556.80, 830.28 and 480.26 is: 716.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.80 : 830.28 = 480.26 : x
  2. Step 2: Convert to fraction form
    556.80/830.28 = 480.26/x
  3. Step 3: Cross multiply
    556.80x = 830.28 × 480.26
  4. Step 4: Simplify right side
    556.80x = 398,750.27
  5. Step 5: Solve for x
    x = 398,750.27/556.80
  6. Step 6: Final answer
    x = 716.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.