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Finding the Fourth Proportional to 503.16, 693.85 and 433.45

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Solution

The fourth proportional to 503.16, 693.85 and 433.45 is: 597.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.16 : 693.85 = 433.45 : x
  2. Step 2: Convert to fraction form
    503.16/693.85 = 433.45/x
  3. Step 3: Cross multiply
    503.16x = 693.85 × 433.45
  4. Step 4: Simplify right side
    503.16x = 300,749.28
  5. Step 5: Solve for x
    x = 300,749.28/503.16
  6. Step 6: Final answer
    x = 597.72

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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.