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Finding the Fourth Proportional to 632.59, 949.49 and 592.80

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Solution

The fourth proportional to 632.59, 949.49 and 592.80 is: 889.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.59 : 949.49 = 592.80 : x
  2. Step 2: Convert to fraction form
    632.59/949.49 = 592.80/x
  3. Step 3: Cross multiply
    632.59x = 949.49 × 592.80
  4. Step 4: Simplify right side
    632.59x = 562,857.67
  5. Step 5: Solve for x
    x = 562,857.67/632.59
  6. Step 6: Final answer
    x = 889.77

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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.