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Finding the Fourth Proportional to 508.49, 699.96 and 383.95

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Solution

The fourth proportional to 508.49, 699.96 and 383.95 is: 528.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.49 : 699.96 = 383.95 : x
  2. Step 2: Convert to fraction form
    508.49/699.96 = 383.95/x
  3. Step 3: Cross multiply
    508.49x = 699.96 × 383.95
  4. Step 4: Simplify right side
    508.49x = 268,747.89
  5. Step 5: Solve for x
    x = 268,747.89/508.49
  6. Step 6: Final answer
    x = 528.53

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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.