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Finding the Fourth Proportional to 463.58, 695.54 and 216.92

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Solution

The fourth proportional to 463.58, 695.54 and 216.92 is: 325.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.58 : 695.54 = 216.92 : x
  2. Step 2: Convert to fraction form
    463.58/695.54 = 216.92/x
  3. Step 3: Cross multiply
    463.58x = 695.54 × 216.92
  4. Step 4: Simplify right side
    463.58x = 150,875.45
  5. Step 5: Solve for x
    x = 150,875.45/463.58
  6. Step 6: Final answer
    x = 325.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.