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Finding the Fourth Proportional to 651.62, 899.30 and 386.16

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Solution

The fourth proportional to 651.62, 899.30 and 386.16 is: 532.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.62 : 899.30 = 386.16 : x
  2. Step 2: Convert to fraction form
    651.62/899.30 = 386.16/x
  3. Step 3: Cross multiply
    651.62x = 899.30 × 386.16
  4. Step 4: Simplify right side
    651.62x = 347,273.69
  5. Step 5: Solve for x
    x = 347,273.69/651.62
  6. Step 6: Final answer
    x = 532.94

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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.