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Finding the Fourth Proportional to 415.53, 571.91 and 362.07

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Solution

The fourth proportional to 415.53, 571.91 and 362.07 is: 498.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.53 : 571.91 = 362.07 : x
  2. Step 2: Convert to fraction form
    415.53/571.91 = 362.07/x
  3. Step 3: Cross multiply
    415.53x = 571.91 × 362.07
  4. Step 4: Simplify right side
    415.53x = 207,069.64
  5. Step 5: Solve for x
    x = 207,069.64/415.53
  6. Step 6: Final answer
    x = 498.33

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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.