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Finding the Fourth Proportional to 525.65, 725.35 and 304.62

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Solution

The fourth proportional to 525.65, 725.35 and 304.62 is: 420.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.65 : 725.35 = 304.62 : x
  2. Step 2: Convert to fraction form
    525.65/725.35 = 304.62/x
  3. Step 3: Cross multiply
    525.65x = 725.35 × 304.62
  4. Step 4: Simplify right side
    525.65x = 220,950.97
  5. Step 5: Solve for x
    x = 220,950.97/525.65
  6. Step 6: Final answer
    x = 420.34

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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.