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Finding the Fourth Proportional to 591.30, 815.88 and 381.40

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Solution

The fourth proportional to 591.30, 815.88 and 381.40 is: 526.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.30 : 815.88 = 381.40 : x
  2. Step 2: Convert to fraction form
    591.30/815.88 = 381.40/x
  3. Step 3: Cross multiply
    591.30x = 815.88 × 381.40
  4. Step 4: Simplify right side
    591.30x = 311,176.63
  5. Step 5: Solve for x
    x = 311,176.63/591.30
  6. Step 6: Final answer
    x = 526.26

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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.