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Finding the Fourth Proportional to 651.33, 897.53 and 464.30

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Solution

The fourth proportional to 651.33, 897.53 and 464.30 is: 639.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.33 : 897.53 = 464.30 : x
  2. Step 2: Convert to fraction form
    651.33/897.53 = 464.30/x
  3. Step 3: Cross multiply
    651.33x = 897.53 × 464.30
  4. Step 4: Simplify right side
    651.33x = 416,723.18
  5. Step 5: Solve for x
    x = 416,723.18/651.33
  6. Step 6: Final answer
    x = 639.80

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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.