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Finding the Fourth Proportional to 695.26, 959.44 and 384.76

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Solution

The fourth proportional to 695.26, 959.44 and 384.76 is: 530.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.26 : 959.44 = 384.76 : x
  2. Step 2: Convert to fraction form
    695.26/959.44 = 384.76/x
  3. Step 3: Cross multiply
    695.26x = 959.44 × 384.76
  4. Step 4: Simplify right side
    695.26x = 369,154.13
  5. Step 5: Solve for x
    x = 369,154.13/695.26
  6. Step 6: Final answer
    x = 530.96

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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.