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Finding the Fourth Proportional to 705.88, 973.49 and 456.94

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Solution

The fourth proportional to 705.88, 973.49 and 456.94 is: 630.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.88 : 973.49 = 456.94 : x
  2. Step 2: Convert to fraction form
    705.88/973.49 = 456.94/x
  3. Step 3: Cross multiply
    705.88x = 973.49 × 456.94
  4. Step 4: Simplify right side
    705.88x = 444,827.89
  5. Step 5: Solve for x
    x = 444,827.89/705.88
  6. Step 6: Final answer
    x = 630.17

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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.