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Finding the Fourth Proportional to 700, 966.18 and 438.16

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Solution

The fourth proportional to 700, 966.18 and 438.16 is: 604.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    700 : 966.18 = 438.16 : x
  2. Step 2: Convert to fraction form
    700/966.18 = 438.16/x
  3. Step 3: Cross multiply
    700x = 966.18 × 438.16
  4. Step 4: Simplify right side
    700x = 423,341.43
  5. Step 5: Solve for x
    x = 423,341.43/700
  6. Step 6: Final answer
    x = 604.77

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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.