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Finding the Fourth Proportional to 695.19, 958.93 and 415.23

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Solution

The fourth proportional to 695.19, 958.93 and 415.23 is: 572.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.19 : 958.93 = 415.23 : x
  2. Step 2: Convert to fraction form
    695.19/958.93 = 415.23/x
  3. Step 3: Cross multiply
    695.19x = 958.93 × 415.23
  4. Step 4: Simplify right side
    695.19x = 398,176.50
  5. Step 5: Solve for x
    x = 398,176.50/695.19
  6. Step 6: Final answer
    x = 572.76

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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.