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Finding the Fourth Proportional to 415.96, 573.93 and 260.74

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Solution

The fourth proportional to 415.96, 573.93 and 260.74 is: 359.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.96 : 573.93 = 260.74 : x
  2. Step 2: Convert to fraction form
    415.96/573.93 = 260.74/x
  3. Step 3: Cross multiply
    415.96x = 573.93 × 260.74
  4. Step 4: Simplify right side
    415.96x = 149,646.51
  5. Step 5: Solve for x
    x = 149,646.51/415.96
  6. Step 6: Final answer
    x = 359.76

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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.