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Finding the Fourth Proportional to 422.92, 583.98 and 313.57

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Solution

The fourth proportional to 422.92, 583.98 and 313.57 is: 432.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.92 : 583.98 = 313.57 : x
  2. Step 2: Convert to fraction form
    422.92/583.98 = 313.57/x
  3. Step 3: Cross multiply
    422.92x = 583.98 × 313.57
  4. Step 4: Simplify right side
    422.92x = 183,118.16
  5. Step 5: Solve for x
    x = 183,118.16/422.92
  6. Step 6: Final answer
    x = 432.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.