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Finding the Fourth Proportional to 503.93, 694.18 and 430.49

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Solution

The fourth proportional to 503.93, 694.18 and 430.49 is: 593.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.93 : 694.18 = 430.49 : x
  2. Step 2: Convert to fraction form
    503.93/694.18 = 430.49/x
  3. Step 3: Cross multiply
    503.93x = 694.18 × 430.49
  4. Step 4: Simplify right side
    503.93x = 298,837.55
  5. Step 5: Solve for x
    x = 298,837.55/503.93
  6. Step 6: Final answer
    x = 593.01

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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.