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Finding the Fourth Proportional to 591.18, 815.49 and 384.18

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Solution

The fourth proportional to 591.18, 815.49 and 384.18 is: 529.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.18 : 815.49 = 384.18 : x
  2. Step 2: Convert to fraction form
    591.18/815.49 = 384.18/x
  3. Step 3: Cross multiply
    591.18x = 815.49 × 384.18
  4. Step 4: Simplify right side
    591.18x = 313,294.95
  5. Step 5: Solve for x
    x = 313,294.95/591.18
  6. Step 6: Final answer
    x = 529.95

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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.