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Finding the Fourth Proportional to 700.37, 966.43 and 405.58

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Solution

The fourth proportional to 700.37, 966.43 and 405.58 is: 559.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.37 : 966.43 = 405.58 : x
  2. Step 2: Convert to fraction form
    700.37/966.43 = 405.58/x
  3. Step 3: Cross multiply
    700.37x = 966.43 × 405.58
  4. Step 4: Simplify right side
    700.37x = 391,957.82
  5. Step 5: Solve for x
    x = 391,957.82/700.37
  6. Step 6: Final answer
    x = 559.65

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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.