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Finding the Fourth Proportional to 647.04, 892.96 and 414.08

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Solution

The fourth proportional to 647.04, 892.96 and 414.08 is: 571.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.04 : 892.96 = 414.08 : x
  2. Step 2: Convert to fraction form
    647.04/892.96 = 414.08/x
  3. Step 3: Cross multiply
    647.04x = 892.96 × 414.08
  4. Step 4: Simplify right side
    647.04x = 369,756.88
  5. Step 5: Solve for x
    x = 369,756.88/647.04
  6. Step 6: Final answer
    x = 571.46

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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.