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Finding the Fourth Proportional to 651.45, 977.19 and 407.64

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Solution

The fourth proportional to 651.45, 977.19 and 407.64 is: 611.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.45 : 977.19 = 407.64 : x
  2. Step 2: Convert to fraction form
    651.45/977.19 = 407.64/x
  3. Step 3: Cross multiply
    651.45x = 977.19 × 407.64
  4. Step 4: Simplify right side
    651.45x = 398,341.73
  5. Step 5: Solve for x
    x = 398,341.73/651.45
  6. Step 6: Final answer
    x = 611.47

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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.