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Finding the Fourth Proportional to 508.74, 701.94 and 384.36

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Solution

The fourth proportional to 508.74, 701.94 and 384.36 is: 530.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.74 : 701.94 = 384.36 : x
  2. Step 2: Convert to fraction form
    508.74/701.94 = 384.36/x
  3. Step 3: Cross multiply
    508.74x = 701.94 × 384.36
  4. Step 4: Simplify right side
    508.74x = 269,797.66
  5. Step 5: Solve for x
    x = 269,797.66/508.74
  6. Step 6: Final answer
    x = 530.33

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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.