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Finding the Fourth Proportional to 431.01, 594.62 and 265.17

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Solution

The fourth proportional to 431.01, 594.62 and 265.17 is: 365.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.01 : 594.62 = 265.17 : x
  2. Step 2: Convert to fraction form
    431.01/594.62 = 265.17/x
  3. Step 3: Cross multiply
    431.01x = 594.62 × 265.17
  4. Step 4: Simplify right side
    431.01x = 157,674.06
  5. Step 5: Solve for x
    x = 157,674.06/431.01
  6. Step 6: Final answer
    x = 365.82

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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.