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Finding the Fourth Proportional to 591, 815.58 and 384

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Solution

The fourth proportional to 591, 815.58 and 384 is: 529.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    591 : 815.58 = 384 : x
  2. Step 2: Convert to fraction form
    591/815.58 = 384/x
  3. Step 3: Cross multiply
    591x = 815.58 × 384
  4. Step 4: Simplify right side
    591x = 313,182.72
  5. Step 5: Solve for x
    x = 313,182.72/591
  6. Step 6: Final answer
    x = 529.92

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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.