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Finding the Fourth Proportional to 570.89, 855.98 and 484.26

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Solution

The fourth proportional to 570.89, 855.98 and 484.26 is: 726.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.89 : 855.98 = 484.26 : x
  2. Step 2: Convert to fraction form
    570.89/855.98 = 484.26/x
  3. Step 3: Cross multiply
    570.89x = 855.98 × 484.26
  4. Step 4: Simplify right side
    570.89x = 414,513.06
  5. Step 5: Solve for x
    x = 414,513.06/570.89
  6. Step 6: Final answer
    x = 726.08

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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.