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Finding the Fourth Proportional to 588.30, 810.21 and 575.55

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Solution

The fourth proportional to 588.30, 810.21 and 575.55 is: 792.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.30 : 810.21 = 575.55 : x
  2. Step 2: Convert to fraction form
    588.30/810.21 = 575.55/x
  3. Step 3: Cross multiply
    588.30x = 810.21 × 575.55
  4. Step 4: Simplify right side
    588.30x = 466,312.31
  5. Step 5: Solve for x
    x = 466,312.31/588.30
  6. Step 6: Final answer
    x = 792.64

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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.