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Finding the Fourth Proportional to 698.94, 964.32 and 404.13

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Solution

The fourth proportional to 698.94, 964.32 and 404.13 is: 557.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.94 : 964.32 = 404.13 : x
  2. Step 2: Convert to fraction form
    698.94/964.32 = 404.13/x
  3. Step 3: Cross multiply
    698.94x = 964.32 × 404.13
  4. Step 4: Simplify right side
    698.94x = 389,710.64
  5. Step 5: Solve for x
    x = 389,710.64/698.94
  6. Step 6: Final answer
    x = 557.57

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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.