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Finding the Fourth Proportional to 551.26, 760.83 and 420.02

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Solution

The fourth proportional to 551.26, 760.83 and 420.02 is: 579.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.26 : 760.83 = 420.02 : x
  2. Step 2: Convert to fraction form
    551.26/760.83 = 420.02/x
  3. Step 3: Cross multiply
    551.26x = 760.83 × 420.02
  4. Step 4: Simplify right side
    551.26x = 319,563.82
  5. Step 5: Solve for x
    x = 319,563.82/551.26
  6. Step 6: Final answer
    x = 579.70

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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.