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Finding the Fourth Proportional to 503.94, 694.18 and 430.50

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Solution

The fourth proportional to 503.94, 694.18 and 430.50 is: 593.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.94 : 694.18 = 430.50 : x
  2. Step 2: Convert to fraction form
    503.94/694.18 = 430.50/x
  3. Step 3: Cross multiply
    503.94x = 694.18 × 430.50
  4. Step 4: Simplify right side
    503.94x = 298,844.49
  5. Step 5: Solve for x
    x = 298,844.49/503.94
  6. Step 6: Final answer
    x = 593.02

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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.