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Finding the Fourth Proportional to 698.04, 962.93 and 418.14

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Solution

The fourth proportional to 698.04, 962.93 and 418.14 is: 576.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.04 : 962.93 = 418.14 : x
  2. Step 2: Convert to fraction form
    698.04/962.93 = 418.14/x
  3. Step 3: Cross multiply
    698.04x = 962.93 × 418.14
  4. Step 4: Simplify right side
    698.04x = 402,640.60
  5. Step 5: Solve for x
    x = 402,640.60/698.04
  6. Step 6: Final answer
    x = 576.82

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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.