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Finding the Fourth Proportional to 503.08, 693.57 and 430.18

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Solution

The fourth proportional to 503.08, 693.57 and 430.18 is: 593.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.08 : 693.57 = 430.18 : x
  2. Step 2: Convert to fraction form
    503.08/693.57 = 430.18/x
  3. Step 3: Cross multiply
    503.08x = 693.57 × 430.18
  4. Step 4: Simplify right side
    503.08x = 298,359.94
  5. Step 5: Solve for x
    x = 298,359.94/503.08
  6. Step 6: Final answer
    x = 593.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.