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Finding the Fourth Proportional to 695.15, 959 and 415.32

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Solution

The fourth proportional to 695.15, 959 and 415.32 is: 572.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.15 : 959 = 415.32 : x
  2. Step 2: Convert to fraction form
    695.15/959 = 415.32/x
  3. Step 3: Cross multiply
    695.15x = 959 × 415.32
  4. Step 4: Simplify right side
    695.15x = 398,291.88
  5. Step 5: Solve for x
    x = 398,291.88/695.15
  6. Step 6: Final answer
    x = 572.96

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Why These Related Problems?

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