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Finding the Fourth Proportional to 592.12, 886.35 and 504.64

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Solution

The fourth proportional to 592.12, 886.35 and 504.64 is: 755.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.12 : 886.35 = 504.64 : x
  2. Step 2: Convert to fraction form
    592.12/886.35 = 504.64/x
  3. Step 3: Cross multiply
    592.12x = 886.35 × 504.64
  4. Step 4: Simplify right side
    592.12x = 447,287.66
  5. Step 5: Solve for x
    x = 447,287.66/592.12
  6. Step 6: Final answer
    x = 755.40

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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.