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Finding the Fourth Proportional to 705.46, 973.47 and 406.63

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Solution

The fourth proportional to 705.46, 973.47 and 406.63 is: 561.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.46 : 973.47 = 406.63 : x
  2. Step 2: Convert to fraction form
    705.46/973.47 = 406.63/x
  3. Step 3: Cross multiply
    705.46x = 973.47 × 406.63
  4. Step 4: Simplify right side
    705.46x = 395,842.11
  5. Step 5: Solve for x
    x = 395,842.11/705.46
  6. Step 6: Final answer
    x = 561.11

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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.