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Finding the Fourth Proportional to 592.12, 887.46 and 302.92

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Solution

The fourth proportional to 592.12, 887.46 and 302.92 is: 454.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.12 : 887.46 = 302.92 : x
  2. Step 2: Convert to fraction form
    592.12/887.46 = 302.92/x
  3. Step 3: Cross multiply
    592.12x = 887.46 × 302.92
  4. Step 4: Simplify right side
    592.12x = 268,829.38
  5. Step 5: Solve for x
    x = 268,829.38/592.12
  6. Step 6: Final answer
    x = 454.01

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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.