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Finding the Fourth Proportional to 525.64, 784.81 and 452.44

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Solution

The fourth proportional to 525.64, 784.81 and 452.44 is: 675.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.64 : 784.81 = 452.44 : x
  2. Step 2: Convert to fraction form
    525.64/784.81 = 452.44/x
  3. Step 3: Cross multiply
    525.64x = 784.81 × 452.44
  4. Step 4: Simplify right side
    525.64x = 355,077.84
  5. Step 5: Solve for x
    x = 355,077.84/525.64
  6. Step 6: Final answer
    x = 675.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.