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Finding the Fourth Proportional to 705.60, 972.64 and 456.88

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Solution

The fourth proportional to 705.60, 972.64 and 456.88 is: 629.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.60 : 972.64 = 456.88 : x
  2. Step 2: Convert to fraction form
    705.60/972.64 = 456.88/x
  3. Step 3: Cross multiply
    705.60x = 972.64 × 456.88
  4. Step 4: Simplify right side
    705.60x = 444,379.76
  5. Step 5: Solve for x
    x = 444,379.76/705.60
  6. Step 6: Final answer
    x = 629.79

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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.