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Finding the Fourth Proportional to 468.54, 651.12 and 463.53

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Solution

The fourth proportional to 468.54, 651.12 and 463.53 is: 644.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.54 : 651.12 = 463.53 : x
  2. Step 2: Convert to fraction form
    468.54/651.12 = 463.53/x
  3. Step 3: Cross multiply
    468.54x = 651.12 × 463.53
  4. Step 4: Simplify right side
    468.54x = 301,813.65
  5. Step 5: Solve for x
    x = 301,813.65/468.54
  6. Step 6: Final answer
    x = 644.16

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.