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Finding the Fourth Proportional to 601.68, 830.04 and 405.12

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Solution

The fourth proportional to 601.68, 830.04 and 405.12 is: 558.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.68 : 830.04 = 405.12 : x
  2. Step 2: Convert to fraction form
    601.68/830.04 = 405.12/x
  3. Step 3: Cross multiply
    601.68x = 830.04 × 405.12
  4. Step 4: Simplify right side
    601.68x = 336,265.80
  5. Step 5: Solve for x
    x = 336,265.80/601.68
  6. Step 6: Final answer
    x = 558.88

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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.