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Finding the Fourth Proportional to 592.44, 892.53 and 464.76

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Solution

The fourth proportional to 592.44, 892.53 and 464.76 is: 700.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.44 : 892.53 = 464.76 : x
  2. Step 2: Convert to fraction form
    592.44/892.53 = 464.76/x
  3. Step 3: Cross multiply
    592.44x = 892.53 × 464.76
  4. Step 4: Simplify right side
    592.44x = 414,812.24
  5. Step 5: Solve for x
    x = 414,812.24/592.44
  6. Step 6: Final answer
    x = 700.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.