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Finding the Fourth Proportional to 552.53, 829.01 and 292.52

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Solution

The fourth proportional to 552.53, 829.01 and 292.52 is: 438.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.53 : 829.01 = 292.52 : x
  2. Step 2: Convert to fraction form
    552.53/829.01 = 292.52/x
  3. Step 3: Cross multiply
    552.53x = 829.01 × 292.52
  4. Step 4: Simplify right side
    552.53x = 242,502.01
  5. Step 5: Solve for x
    x = 242,502.01/552.53
  6. Step 6: Final answer
    x = 438.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.