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Finding the Fourth Proportional to 604.83, 833.98 and 408

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Solution

The fourth proportional to 604.83, 833.98 and 408 is: 562.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.83 : 833.98 = 408 : x
  2. Step 2: Convert to fraction form
    604.83/833.98 = 408/x
  3. Step 3: Cross multiply
    604.83x = 833.98 × 408
  4. Step 4: Simplify right side
    604.83x = 340,263.84
  5. Step 5: Solve for x
    x = 340,263.84/604.83
  6. Step 6: Final answer
    x = 562.58

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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.