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Finding the Fourth Proportional to 525.46, 725.08 and 304.37

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Solution

The fourth proportional to 525.46, 725.08 and 304.37 is: 419.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.46 : 725.08 = 304.37 : x
  2. Step 2: Convert to fraction form
    525.46/725.08 = 304.37/x
  3. Step 3: Cross multiply
    525.46x = 725.08 × 304.37
  4. Step 4: Simplify right side
    525.46x = 220,690.93
  5. Step 5: Solve for x
    x = 220,690.93/525.46
  6. Step 6: Final answer
    x = 419.99

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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.