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Finding the Fourth Proportional to 591.33, 887.46 and 476.06

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Solution

The fourth proportional to 591.33, 887.46 and 476.06 is: 714.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.33 : 887.46 = 476.06 : x
  2. Step 2: Convert to fraction form
    591.33/887.46 = 476.06/x
  3. Step 3: Cross multiply
    591.33x = 887.46 × 476.06
  4. Step 4: Simplify right side
    591.33x = 422,482.98
  5. Step 5: Solve for x
    x = 422,482.98/591.33
  6. Step 6: Final answer
    x = 714.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.