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Finding the Fourth Proportional to 598.22, 892.10 and 592.76

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Solution

The fourth proportional to 598.22, 892.10 and 592.76 is: 883.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.22 : 892.10 = 592.76 : x
  2. Step 2: Convert to fraction form
    598.22/892.10 = 592.76/x
  3. Step 3: Cross multiply
    598.22x = 892.10 × 592.76
  4. Step 4: Simplify right side
    598.22x = 528,796.74
  5. Step 5: Solve for x
    x = 528,796.74/598.22
  6. Step 6: Final answer
    x = 883.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.