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Finding the Fourth Proportional to 525.75, 784.53 and 471.09

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Solution

The fourth proportional to 525.75, 784.53 and 471.09 is: 702.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.75 : 784.53 = 471.09 : x
  2. Step 2: Convert to fraction form
    525.75/784.53 = 471.09/x
  3. Step 3: Cross multiply
    525.75x = 784.53 × 471.09
  4. Step 4: Simplify right side
    525.75x = 369,584.24
  5. Step 5: Solve for x
    x = 369,584.24/525.75
  6. Step 6: Final answer
    x = 702.97

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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.