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Finding the Fourth Proportional to 591.60, 815.88 and 381.78

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Solution

The fourth proportional to 591.60, 815.88 and 381.78 is: 526.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.60 : 815.88 = 381.78 : x
  2. Step 2: Convert to fraction form
    591.60/815.88 = 381.78/x
  3. Step 3: Cross multiply
    591.60x = 815.88 × 381.78
  4. Step 4: Simplify right side
    591.60x = 311,486.67
  5. Step 5: Solve for x
    x = 311,486.67/591.60
  6. Step 6: Final answer
    x = 526.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.