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Finding the Fourth Proportional to 415.58, 573.24 and 317.12

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Solution

The fourth proportional to 415.58, 573.24 and 317.12 is: 437.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.58 : 573.24 = 317.12 : x
  2. Step 2: Convert to fraction form
    415.58/573.24 = 317.12/x
  3. Step 3: Cross multiply
    415.58x = 573.24 × 317.12
  4. Step 4: Simplify right side
    415.58x = 181,785.87
  5. Step 5: Solve for x
    x = 181,785.87/415.58
  6. Step 6: Final answer
    x = 437.43

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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.