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Finding the Fourth Proportional to 463.01, 693.50 and 325.51

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Solution

The fourth proportional to 463.01, 693.50 and 325.51 is: 487.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.01 : 693.50 = 325.51 : x
  2. Step 2: Convert to fraction form
    463.01/693.50 = 325.51/x
  3. Step 3: Cross multiply
    463.01x = 693.50 × 325.51
  4. Step 4: Simplify right side
    463.01x = 225,737.82
  5. Step 5: Solve for x
    x = 225,737.82/463.01
  6. Step 6: Final answer
    x = 487.55

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Double scale
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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.