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Finding the Fourth Proportional to 592.64, 815.76 and 522.44

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Solution

The fourth proportional to 592.64, 815.76 and 522.44 is: 719.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.64 : 815.76 = 522.44 : x
  2. Step 2: Convert to fraction form
    592.64/815.76 = 522.44/x
  3. Step 3: Cross multiply
    592.64x = 815.76 × 522.44
  4. Step 4: Simplify right side
    592.64x = 426,185.65
  5. Step 5: Solve for x
    x = 426,185.65/592.64
  6. Step 6: Final answer
    x = 719.13

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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.