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Finding the Fourth Proportional to 651.72, 976.70 and 359.30

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Solution

The fourth proportional to 651.72, 976.70 and 359.30 is: 538.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.72 : 976.70 = 359.30 : x
  2. Step 2: Convert to fraction form
    651.72/976.70 = 359.30/x
  3. Step 3: Cross multiply
    651.72x = 976.70 × 359.30
  4. Step 4: Simplify right side
    651.72x = 350,921.63
  5. Step 5: Solve for x
    x = 350,921.63/651.72
  6. Step 6: Final answer
    x = 538.45

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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.