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Finding the Fourth Proportional to 651.76, 976.20 and 362.56

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Solution

The fourth proportional to 651.76, 976.20 and 362.56 is: 543.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.76 : 976.20 = 362.56 : x
  2. Step 2: Convert to fraction form
    651.76/976.20 = 362.56/x
  3. Step 3: Cross multiply
    651.76x = 976.20 × 362.56
  4. Step 4: Simplify right side
    651.76x = 353,931.07
  5. Step 5: Solve for x
    x = 353,931.07/651.76
  6. Step 6: Final answer
    x = 543.04

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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.