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Finding the Fourth Proportional to 592.06, 887.24 and 436.76

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Solution

The fourth proportional to 592.06, 887.24 and 436.76 is: 654.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.06 : 887.24 = 436.76 : x
  2. Step 2: Convert to fraction form
    592.06/887.24 = 436.76/x
  3. Step 3: Cross multiply
    592.06x = 887.24 × 436.76
  4. Step 4: Simplify right side
    592.06x = 387,510.94
  5. Step 5: Solve for x
    x = 387,510.94/592.06
  6. Step 6: Final answer
    x = 654.51

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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.