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Finding the Fourth Proportional to 604.71, 837.64 and 592.40

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Solution

The fourth proportional to 604.71, 837.64 and 592.40 is: 820.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.71 : 837.64 = 592.40 : x
  2. Step 2: Convert to fraction form
    604.71/837.64 = 592.40/x
  3. Step 3: Cross multiply
    604.71x = 837.64 × 592.40
  4. Step 4: Simplify right side
    604.71x = 496,218.55
  5. Step 5: Solve for x
    x = 496,218.55/604.71
  6. Step 6: Final answer
    x = 820.59

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.