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Finding the Fourth Proportional to 415.48, 573.09 and 317.06

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Solution

The fourth proportional to 415.48, 573.09 and 317.06 is: 437.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.48 : 573.09 = 317.06 : x
  2. Step 2: Convert to fraction form
    415.48/573.09 = 317.06/x
  3. Step 3: Cross multiply
    415.48x = 573.09 × 317.06
  4. Step 4: Simplify right side
    415.48x = 181,703.92
  5. Step 5: Solve for x
    x = 181,703.92/415.48
  6. Step 6: Final answer
    x = 437.33

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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.