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Finding the Fourth Proportional to 603.88, 833.69 and 415.10

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Solution

The fourth proportional to 603.88, 833.69 and 415.10 is: 573.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.88 : 833.69 = 415.10 : x
  2. Step 2: Convert to fraction form
    603.88/833.69 = 415.10/x
  3. Step 3: Cross multiply
    603.88x = 833.69 × 415.10
  4. Step 4: Simplify right side
    603.88x = 346,065.50
  5. Step 5: Solve for x
    x = 346,065.50/603.88
  6. Step 6: Final answer
    x = 573.07

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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.