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Finding the Fourth Proportional to 525.08, 726.36 and 437.60

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Solution

The fourth proportional to 525.08, 726.36 and 437.60 is: 605.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.08 : 726.36 = 437.60 : x
  2. Step 2: Convert to fraction form
    525.08/726.36 = 437.60/x
  3. Step 3: Cross multiply
    525.08x = 726.36 × 437.60
  4. Step 4: Simplify right side
    525.08x = 317,855.14
  5. Step 5: Solve for x
    x = 317,855.14/525.08
  6. Step 6: Final answer
    x = 605.35

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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.