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Finding the Fourth Proportional to 647.04, 970.96 and 464.78

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Solution

The fourth proportional to 647.04, 970.96 and 464.78 is: 697.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.04 : 970.96 = 464.78 : x
  2. Step 2: Convert to fraction form
    647.04/970.96 = 464.78/x
  3. Step 3: Cross multiply
    647.04x = 970.96 × 464.78
  4. Step 4: Simplify right side
    647.04x = 451,282.79
  5. Step 5: Solve for x
    x = 451,282.79/647.04
  6. Step 6: Final answer
    x = 697.46

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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.