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Finding the Fourth Proportional to 463.20, 695.28 and 346.50

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Solution

The fourth proportional to 463.20, 695.28 and 346.50 is: 520.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.20 : 695.28 = 346.50 : x
  2. Step 2: Convert to fraction form
    463.20/695.28 = 346.50/x
  3. Step 3: Cross multiply
    463.20x = 695.28 × 346.50
  4. Step 4: Simplify right side
    463.20x = 240,914.52
  5. Step 5: Solve for x
    x = 240,914.52/463.20
  6. Step 6: Final answer
    x = 520.11

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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.