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Finding the Fourth Proportional to 614.69, 847.54 and 467.08

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Solution

The fourth proportional to 614.69, 847.54 and 467.08 is: 644.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.69 : 847.54 = 467.08 : x
  2. Step 2: Convert to fraction form
    614.69/847.54 = 467.08/x
  3. Step 3: Cross multiply
    614.69x = 847.54 × 467.08
  4. Step 4: Simplify right side
    614.69x = 395,868.98
  5. Step 5: Solve for x
    x = 395,868.98/614.69
  6. Step 6: Final answer
    x = 644.01

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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.