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Finding the Fourth Proportional to 503.16, 694.06 and 319.16

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Solution

The fourth proportional to 503.16, 694.06 and 319.16 is: 440.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.16 : 694.06 = 319.16 : x
  2. Step 2: Convert to fraction form
    503.16/694.06 = 319.16/x
  3. Step 3: Cross multiply
    503.16x = 694.06 × 319.16
  4. Step 4: Simplify right side
    503.16x = 221,516.19
  5. Step 5: Solve for x
    x = 221,516.19/503.16
  6. Step 6: Final answer
    x = 440.25

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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.