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Finding the Fourth Proportional to 431.68, 594.62 and 365.20

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Solution

The fourth proportional to 431.68, 594.62 and 365.20 is: 503.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.68 : 594.62 = 365.20 : x
  2. Step 2: Convert to fraction form
    431.68/594.62 = 365.20/x
  3. Step 3: Cross multiply
    431.68x = 594.62 × 365.20
  4. Step 4: Simplify right side
    431.68x = 217,155.22
  5. Step 5: Solve for x
    x = 217,155.22/431.68
  6. Step 6: Final answer
    x = 503.05

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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.