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Finding the Fourth Proportional to 591.13, 815.16 and 480.16

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Solution

The fourth proportional to 591.13, 815.16 and 480.16 is: 662.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.13 : 815.16 = 480.16 : x
  2. Step 2: Convert to fraction form
    591.13/815.16 = 480.16/x
  3. Step 3: Cross multiply
    591.13x = 815.16 × 480.16
  4. Step 4: Simplify right side
    591.13x = 391,407.23
  5. Step 5: Solve for x
    x = 391,407.23/591.13
  6. Step 6: Final answer
    x = 662.13

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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.