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Finding the Fourth Proportional to 700.19, 966.32 and 405.46

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Solution

The fourth proportional to 700.19, 966.32 and 405.46 is: 559.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.19 : 966.32 = 405.46 : x
  2. Step 2: Convert to fraction form
    700.19/966.32 = 405.46/x
  3. Step 3: Cross multiply
    700.19x = 966.32 × 405.46
  4. Step 4: Simplify right side
    700.19x = 391,804.11
  5. Step 5: Solve for x
    x = 391,804.11/700.19
  6. Step 6: Final answer
    x = 559.57

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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.