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Finding the Fourth Proportional to 700.16, 966.12 and 405.32

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Solution

The fourth proportional to 700.16, 966.12 and 405.32 is: 559.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.16 : 966.12 = 405.32 : x
  2. Step 2: Convert to fraction form
    700.16/966.12 = 405.32/x
  3. Step 3: Cross multiply
    700.16x = 966.12 × 405.32
  4. Step 4: Simplify right side
    700.16x = 391,582.93
  5. Step 5: Solve for x
    x = 391,582.93/700.16
  6. Step 6: Final answer
    x = 559.28

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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.