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Finding the Fourth Proportional to 699.94, 966.05 and 405.24

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Solution

The fourth proportional to 699.94, 966.05 and 405.24 is: 559.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.94 : 966.05 = 405.24 : x
  2. Step 2: Convert to fraction form
    699.94/966.05 = 405.24/x
  3. Step 3: Cross multiply
    699.94x = 966.05 × 405.24
  4. Step 4: Simplify right side
    699.94x = 391,482.10
  5. Step 5: Solve for x
    x = 391,482.10/699.94
  6. Step 6: Final answer
    x = 559.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.