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Finding the Fourth Proportional to 525.93, 725.82 and 304.95

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Solution

The fourth proportional to 525.93, 725.82 and 304.95 is: 420.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.93 : 725.82 = 304.95 : x
  2. Step 2: Convert to fraction form
    525.93/725.82 = 304.95/x
  3. Step 3: Cross multiply
    525.93x = 725.82 × 304.95
  4. Step 4: Simplify right side
    525.93x = 221,338.81
  5. Step 5: Solve for x
    x = 221,338.81/525.93
  6. Step 6: Final answer
    x = 420.85

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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.