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Finding the Fourth Proportional to 646.83, 967.98 and 464.58

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Solution

The fourth proportional to 646.83, 967.98 and 464.58 is: 695.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.83 : 967.98 = 464.58 : x
  2. Step 2: Convert to fraction form
    646.83/967.98 = 464.58/x
  3. Step 3: Cross multiply
    646.83x = 967.98 × 464.58
  4. Step 4: Simplify right side
    646.83x = 449,705.89
  5. Step 5: Solve for x
    x = 449,705.89/646.83
  6. Step 6: Final answer
    x = 695.25

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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.