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Finding the Fourth Proportional to 695.21, 959.37 and 384.71

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Solution

The fourth proportional to 695.21, 959.37 and 384.71 is: 530.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.21 : 959.37 = 384.71 : x
  2. Step 2: Convert to fraction form
    695.21/959.37 = 384.71/x
  3. Step 3: Cross multiply
    695.21x = 959.37 × 384.71
  4. Step 4: Simplify right side
    695.21x = 369,079.23
  5. Step 5: Solve for x
    x = 369,079.23/695.21
  6. Step 6: Final answer
    x = 530.89

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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.