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Finding the Fourth Proportional to 633.74, 952.34 and 592.22

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Solution

The fourth proportional to 633.74, 952.34 and 592.22 is: 889.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.74 : 952.34 = 592.22 : x
  2. Step 2: Convert to fraction form
    633.74/952.34 = 592.22/x
  3. Step 3: Cross multiply
    633.74x = 952.34 × 592.22
  4. Step 4: Simplify right side
    633.74x = 563,994.21
  5. Step 5: Solve for x
    x = 563,994.21/633.74
  6. Step 6: Final answer
    x = 889.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.