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Finding the Fourth Proportional to 904.63, 1,355.99 and 418.00

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Solution

The fourth proportional to 904.63, 1,355.99 and 418.00 is: 626.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.63 : 1,355.99 = 418.00 : x
  2. Step 2: Convert to fraction form
    904.63/1,355.99 = 418.00/x
  3. Step 3: Cross multiply
    904.63x = 1,355.99 × 418.00
  4. Step 4: Simplify right side
    904.63x = 566,797.04
  5. Step 5: Solve for x
    x = 566,797.04/904.63
  6. Step 6: Final answer
    x = 626.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.