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Finding the Fourth Proportional to 503.30, 754.05 and 431.30

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Solution

The fourth proportional to 503.30, 754.05 and 431.30 is: 646.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.30 : 754.05 = 431.30 : x
  2. Step 2: Convert to fraction form
    503.30/754.05 = 431.30/x
  3. Step 3: Cross multiply
    503.30x = 754.05 × 431.30
  4. Step 4: Simplify right side
    503.30x = 325,221.77
  5. Step 5: Solve for x
    x = 325,221.77/503.30
  6. Step 6: Final answer
    x = 646.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.