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Finding the Fourth Proportional to 501.36, 691.81 and 314.84

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Solution

The fourth proportional to 501.36, 691.81 and 314.84 is: 434.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.36 : 691.81 = 314.84 : x
  2. Step 2: Convert to fraction form
    501.36/691.81 = 314.84/x
  3. Step 3: Cross multiply
    501.36x = 691.81 × 314.84
  4. Step 4: Simplify right side
    501.36x = 217,806.51
  5. Step 5: Solve for x
    x = 217,806.51/501.36
  6. Step 6: Final answer
    x = 434.43

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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.