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Finding the Fourth Proportional to 525.84, 725.71 and 304.78

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Solution

The fourth proportional to 525.84, 725.71 and 304.78 is: 420.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.84 : 725.71 = 304.78 : x
  2. Step 2: Convert to fraction form
    525.84/725.71 = 304.78/x
  3. Step 3: Cross multiply
    525.84x = 725.71 × 304.78
  4. Step 4: Simplify right side
    525.84x = 221,181.89
  5. Step 5: Solve for x
    x = 221,181.89/525.84
  6. Step 6: Final answer
    x = 420.63

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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.