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Finding the Fourth Proportional to 651.49, 977.45 and 407.72

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Solution

The fourth proportional to 651.49, 977.45 and 407.72 is: 611.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.49 : 977.45 = 407.72 : x
  2. Step 2: Convert to fraction form
    651.49/977.45 = 407.72/x
  3. Step 3: Cross multiply
    651.49x = 977.45 × 407.72
  4. Step 4: Simplify right side
    651.49x = 398,525.91
  5. Step 5: Solve for x
    x = 398,525.91/651.49
  6. Step 6: Final answer
    x = 611.71

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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.