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Finding the Fourth Proportional to 592.28, 815.46 and 522.08

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Solution

The fourth proportional to 592.28, 815.46 and 522.08 is: 718.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.28 : 815.46 = 522.08 : x
  2. Step 2: Convert to fraction form
    592.28/815.46 = 522.08/x
  3. Step 3: Cross multiply
    592.28x = 815.46 × 522.08
  4. Step 4: Simplify right side
    592.28x = 425,735.36
  5. Step 5: Solve for x
    x = 425,735.36/592.28
  6. Step 6: Final answer
    x = 718.81

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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.