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Finding the Fourth Proportional to 700.34, 966.62 and 405.77

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Solution

The fourth proportional to 700.34, 966.62 and 405.77 is: 560.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.34 : 966.62 = 405.77 : x
  2. Step 2: Convert to fraction form
    700.34/966.62 = 405.77/x
  3. Step 3: Cross multiply
    700.34x = 966.62 × 405.77
  4. Step 4: Simplify right side
    700.34x = 392,221.58
  5. Step 5: Solve for x
    x = 392,221.58/700.34
  6. Step 6: Final answer
    x = 560.05

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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.