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Finding the Fourth Proportional to 525.71, 725.76 and 455.87

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Solution

The fourth proportional to 525.71, 725.76 and 455.87 is: 629.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.71 : 725.76 = 455.87 : x
  2. Step 2: Convert to fraction form
    525.71/725.76 = 455.87/x
  3. Step 3: Cross multiply
    525.71x = 725.76 × 455.87
  4. Step 4: Simplify right side
    525.71x = 330,848.58
  5. Step 5: Solve for x
    x = 330,848.58/525.71
  6. Step 6: Final answer
    x = 629.34

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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.