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Finding the Fourth Proportional to 431.04, 594.24 and 365.28

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Solution

The fourth proportional to 431.04, 594.24 and 365.28 is: 503.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.04 : 594.24 = 365.28 : x
  2. Step 2: Convert to fraction form
    431.04/594.24 = 365.28/x
  3. Step 3: Cross multiply
    431.04x = 594.24 × 365.28
  4. Step 4: Simplify right side
    431.04x = 217,063.99
  5. Step 5: Solve for x
    x = 217,063.99/431.04
  6. Step 6: Final answer
    x = 503.58

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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.